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Finding the Third Proportional to 420,068,788 and 606,874,602

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Solution

The third proportional to 420,068,788 and 606,874,602 is: 876,753,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,068,788 : 606,874,602 = 606,874,602 : x
  2. Step 2: Convert to fraction form
    420,068,788/606,874,602 = 606,874,602/x
  3. Step 3: Cross multiply
    420,068,788x = 606,874,602 × 606,874,602
  4. Step 4: Simplify right side
    420,068,788x = 368,296,782,552,658,432
  5. Step 5: Solve for x
    x = 368,296,782,552,658,432/420,068,788
  6. Step 6: Final answer
    x = 876,753,505.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.