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Finding the Third Proportional to 897,448,354 and 1,378,590,551

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Solution

The third proportional to 897,448,354 and 1,378,590,551 is: 2,117,683,874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,448,354 : 1,378,590,551 = 1,378,590,551 : x
  2. Step 2: Convert to fraction form
    897,448,354/1,378,590,551 = 1,378,590,551/x
  3. Step 3: Cross multiply
    897,448,354x = 1,378,590,551 × 1,378,590,551
  4. Step 4: Simplify right side
    897,448,354x = 1,900,511,907,306,483,712
  5. Step 5: Solve for x
    x = 1,900,511,907,306,483,712/897,448,354
  6. Step 6: Final answer
    x = 2,117,683,874.33

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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.