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Finding the Third Proportional to 723,473 and 1,571,461

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Solution

The third proportional to 723,473 and 1,571,461 is: 3,413,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,473 : 1,571,461 = 1,571,461 : x
  2. Step 2: Convert to fraction form
    723,473/1,571,461 = 1,571,461/x
  3. Step 3: Cross multiply
    723,473x = 1,571,461 × 1,571,461
  4. Step 4: Simplify right side
    723,473x = 2,469,489,674,521
  5. Step 5: Solve for x
    x = 2,469,489,674,521/723,473
  6. Step 6: Final answer
    x = 3,413,381.94

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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.