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Finding the Third Proportional to 639,502 and 1,381,468

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Solution

The third proportional to 639,502 and 1,381,468 is: 2,984,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,502 : 1,381,468 = 1,381,468 : x
  2. Step 2: Convert to fraction form
    639,502/1,381,468 = 1,381,468/x
  3. Step 3: Cross multiply
    639,502x = 1,381,468 × 1,381,468
  4. Step 4: Simplify right side
    639,502x = 1,908,453,835,024
  5. Step 5: Solve for x
    x = 1,908,453,835,024/639,502
  6. Step 6: Final answer
    x = 2,984,281.26

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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.