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Finding the Third Proportional to 499,440 and 1,068,864

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Solution

The third proportional to 499,440 and 1,068,864 is: 2,287,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,440 : 1,068,864 = 1,068,864 : x
  2. Step 2: Convert to fraction form
    499,440/1,068,864 = 1,068,864/x
  3. Step 3: Cross multiply
    499,440x = 1,068,864 × 1,068,864
  4. Step 4: Simplify right side
    499,440x = 1,142,470,250,496
  5. Step 5: Solve for x
    x = 1,142,470,250,496/499,440
  6. Step 6: Final answer
    x = 2,287,502.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.