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Finding the Third Proportional to 812,473 and 1,729,921

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Solution

The third proportional to 812,473 and 1,729,921 is: 3,683,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,473 : 1,729,921 = 1,729,921 : x
  2. Step 2: Convert to fraction form
    812,473/1,729,921 = 1,729,921/x
  3. Step 3: Cross multiply
    812,473x = 1,729,921 × 1,729,921
  4. Step 4: Simplify right side
    812,473x = 2,992,626,666,241
  5. Step 5: Solve for x
    x = 2,992,626,666,241/812,473
  6. Step 6: Final answer
    x = 3,683,355.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.