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Finding the Third Proportional to 498,142 and 1,031,728

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Solution

The third proportional to 498,142 and 1,031,728 is: 2,136,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,142 : 1,031,728 = 1,031,728 : x
  2. Step 2: Convert to fraction form
    498,142/1,031,728 = 1,031,728/x
  3. Step 3: Cross multiply
    498,142x = 1,031,728 × 1,031,728
  4. Step 4: Simplify right side
    498,142x = 1,064,462,665,984
  5. Step 5: Solve for x
    x = 1,064,462,665,984/498,142
  6. Step 6: Final answer
    x = 2,136,865.93

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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.