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Finding the Third Proportional to 897,448,334.91 and 1,378,590,524.86

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Solution

The third proportional to 897,448,334.91 and 1,378,590,524.86 is: 2,117,683,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,448,334.91 : 1,378,590,524.86 = 1,378,590,524.86 : x
  2. Step 2: Convert to fraction form
    897,448,334.91/1,378,590,524.86 = 1,378,590,524.86/x
  3. Step 3: Cross multiply
    897,448,334.91x = 1,378,590,524.86 × 1,378,590,524.86
  4. Step 4: Simplify right side
    897,448,334.91x = 1,900,511,835,232,115,968
  5. Step 5: Solve for x
    x = 1,900,511,835,232,115,968/897,448,334.91
  6. Step 6: Final answer
    x = 2,117,683,839.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.