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Finding the Third Proportional to 509,463 and 1,068,498

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Solution

The third proportional to 509,463 and 1,068,498 is: 2,240,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,463 : 1,068,498 = 1,068,498 : x
  2. Step 2: Convert to fraction form
    509,463/1,068,498 = 1,068,498/x
  3. Step 3: Cross multiply
    509,463x = 1,068,498 × 1,068,498
  4. Step 4: Simplify right side
    509,463x = 1,141,687,976,004
  5. Step 5: Solve for x
    x = 1,141,687,976,004/509,463
  6. Step 6: Final answer
    x = 2,240,963.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.