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Finding the Third Proportional to 509,472 and 1,068,516

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Solution

The third proportional to 509,472 and 1,068,516 is: 2,240,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,472 : 1,068,516 = 1,068,516 : x
  2. Step 2: Convert to fraction form
    509,472/1,068,516 = 1,068,516/x
  3. Step 3: Cross multiply
    509,472x = 1,068,516 × 1,068,516
  4. Step 4: Simplify right side
    509,472x = 1,141,726,442,256
  5. Step 5: Solve for x
    x = 1,141,726,442,256/509,472
  6. Step 6: Final answer
    x = 2,240,999.39

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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.