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Finding the Third Proportional to 621,306 and 1,340,468

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Solution

The third proportional to 621,306 and 1,340,468 is: 2,892,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,306 : 1,340,468 = 1,340,468 : x
  2. Step 2: Convert to fraction form
    621,306/1,340,468 = 1,340,468/x
  3. Step 3: Cross multiply
    621,306x = 1,340,468 × 1,340,468
  4. Step 4: Simplify right side
    621,306x = 1,796,854,459,024
  5. Step 5: Solve for x
    x = 1,796,854,459,024/621,306
  6. Step 6: Final answer
    x = 2,892,060.37

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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.