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Finding the Third Proportional to 498,151 and 1,031,746

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Solution

The third proportional to 498,151 and 1,031,746 is: 2,136,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,151 : 1,031,746 = 1,031,746 : x
  2. Step 2: Convert to fraction form
    498,151/1,031,746 = 1,031,746/x
  3. Step 3: Cross multiply
    498,151x = 1,031,746 × 1,031,746
  4. Step 4: Simplify right side
    498,151x = 1,064,499,808,516
  5. Step 5: Solve for x
    x = 1,064,499,808,516/498,151
  6. Step 6: Final answer
    x = 2,136,901.88

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.