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Finding the Third Proportional to 614,220 and 1,329,048

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Solution

The third proportional to 614,220 and 1,329,048 is: 2,875,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,220 : 1,329,048 = 1,329,048 : x
  2. Step 2: Convert to fraction form
    614,220/1,329,048 = 1,329,048/x
  3. Step 3: Cross multiply
    614,220x = 1,329,048 × 1,329,048
  4. Step 4: Simplify right side
    614,220x = 1,766,368,586,304
  5. Step 5: Solve for x
    x = 1,766,368,586,304/614,220
  6. Step 6: Final answer
    x = 2,875,791.39

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Why These Related Problems?

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