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Finding the Third Proportional to 725,776 and 1,576,184

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Solution

The third proportional to 725,776 and 1,576,184 is: 3,423,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,776 : 1,576,184 = 1,576,184 : x
  2. Step 2: Convert to fraction form
    725,776/1,576,184 = 1,576,184/x
  3. Step 3: Cross multiply
    725,776x = 1,576,184 × 1,576,184
  4. Step 4: Simplify right side
    725,776x = 2,484,356,001,856
  5. Step 5: Solve for x
    x = 2,484,356,001,856/725,776
  6. Step 6: Final answer
    x = 3,423,034.11

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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.