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Finding the Third Proportional to 654,082 and 1,357,371

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Solution

The third proportional to 654,082 and 1,357,371 is: 2,816,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,082 : 1,357,371 = 1,357,371 : x
  2. Step 2: Convert to fraction form
    654,082/1,357,371 = 1,357,371/x
  3. Step 3: Cross multiply
    654,082x = 1,357,371 × 1,357,371
  4. Step 4: Simplify right side
    654,082x = 1,842,456,031,641
  5. Step 5: Solve for x
    x = 1,842,456,031,641/654,082
  6. Step 6: Final answer
    x = 2,816,857.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.