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Finding the Third Proportional to 1,921,654 and 2,947,607

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Solution

The third proportional to 1,921,654 and 2,947,607 is: 4,521,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,654 : 2,947,607 = 2,947,607 : x
  2. Step 2: Convert to fraction form
    1,921,654/2,947,607 = 2,947,607/x
  3. Step 3: Cross multiply
    1,921,654x = 2,947,607 × 2,947,607
  4. Step 4: Simplify right side
    1,921,654x = 8,688,387,026,449
  5. Step 5: Solve for x
    x = 8,688,387,026,449/1,921,654
  6. Step 6: Final answer
    x = 4,521,306.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.