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Finding the Third Proportional to 602,872,418 and 1,305,923,572

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Solution

The third proportional to 602,872,418 and 1,305,923,572 is: 2,828,851,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,872,418 : 1,305,923,572 = 1,305,923,572 : x
  2. Step 2: Convert to fraction form
    602,872,418/1,305,923,572 = 1,305,923,572/x
  3. Step 3: Cross multiply
    602,872,418x = 1,305,923,572 × 1,305,923,572
  4. Step 4: Simplify right side
    602,872,418x = 1,705,436,375,905,239,296
  5. Step 5: Solve for x
    x = 1,705,436,375,905,239,296/602,872,418
  6. Step 6: Final answer
    x = 2,828,851,221.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.