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Finding the Third Proportional to 801,160,467 and 1,708,143,294

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Solution

The third proportional to 801,160,467 and 1,708,143,294 is: 3,641,908,997.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,160,467 : 1,708,143,294 = 1,708,143,294 : x
  2. Step 2: Convert to fraction form
    801,160,467/1,708,143,294 = 1,708,143,294/x
  3. Step 3: Cross multiply
    801,160,467x = 1,708,143,294 × 1,708,143,294
  4. Step 4: Simplify right side
    801,160,467x = 2,917,753,512,837,170,688
  5. Step 5: Solve for x
    x = 2,917,753,512,837,170,688/801,160,467
  6. Step 6: Final answer
    x = 3,641,908,997.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.