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Finding the Third Proportional to 498,143 and 1,031,729

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Solution

The third proportional to 498,143 and 1,031,729 is: 2,136,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,143 : 1,031,729 = 1,031,729 : x
  2. Step 2: Convert to fraction form
    498,143/1,031,729 = 1,031,729/x
  3. Step 3: Cross multiply
    498,143x = 1,031,729 × 1,031,729
  4. Step 4: Simplify right side
    498,143x = 1,064,464,729,441
  5. Step 5: Solve for x
    x = 1,064,464,729,441/498,143
  6. Step 6: Final answer
    x = 2,136,865.78

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Why These Related Problems?

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