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Finding the Third Proportional to 761,564 and 1,654,227

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Solution

The third proportional to 761,564 and 1,654,227 is: 3,593,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,564 : 1,654,227 = 1,654,227 : x
  2. Step 2: Convert to fraction form
    761,564/1,654,227 = 1,654,227/x
  3. Step 3: Cross multiply
    761,564x = 1,654,227 × 1,654,227
  4. Step 4: Simplify right side
    761,564x = 2,736,466,967,529
  5. Step 5: Solve for x
    x = 2,736,466,967,529/761,564
  6. Step 6: Final answer
    x = 3,593,219.96

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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.