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Finding the Third Proportional to 602,872,414 and 1,305,923,564

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Solution

The third proportional to 602,872,414 and 1,305,923,564 is: 2,828,851,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,872,414 : 1,305,923,564 = 1,305,923,564 : x
  2. Step 2: Convert to fraction form
    602,872,414/1,305,923,564 = 1,305,923,564/x
  3. Step 3: Cross multiply
    602,872,414x = 1,305,923,564 × 1,305,923,564
  4. Step 4: Simplify right side
    602,872,414x = 1,705,436,355,010,462,208
  5. Step 5: Solve for x
    x = 1,705,436,355,010,462,208/602,872,414
  6. Step 6: Final answer
    x = 2,828,851,205.34

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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.