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Finding the Third Proportional to 897,448,358 and 1,378,590,559

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Solution

The third proportional to 897,448,358 and 1,378,590,559 is: 2,117,683,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,448,358 : 1,378,590,559 = 1,378,590,559 : x
  2. Step 2: Convert to fraction form
    897,448,358/1,378,590,559 = 1,378,590,559/x
  3. Step 3: Cross multiply
    897,448,358x = 1,378,590,559 × 1,378,590,559
  4. Step 4: Simplify right side
    897,448,358x = 1,900,511,929,363,932,416
  5. Step 5: Solve for x
    x = 1,900,511,929,363,932,416/897,448,358
  6. Step 6: Final answer
    x = 2,117,683,889.47

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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.