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Finding the Third Proportional to 614,202 and 1,329,012

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Solution

The third proportional to 614,202 and 1,329,012 is: 2,875,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,202 : 1,329,012 = 1,329,012 : x
  2. Step 2: Convert to fraction form
    614,202/1,329,012 = 1,329,012/x
  3. Step 3: Cross multiply
    614,202x = 1,329,012 × 1,329,012
  4. Step 4: Simplify right side
    614,202x = 1,766,272,896,144
  5. Step 5: Solve for x
    x = 1,766,272,896,144/614,202
  6. Step 6: Final answer
    x = 2,875,719.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.