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Finding the Third Proportional to 487,915 and 1,057,280

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Solution

The third proportional to 487,915 and 1,057,280 is: 2,291,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,915 : 1,057,280 = 1,057,280 : x
  2. Step 2: Convert to fraction form
    487,915/1,057,280 = 1,057,280/x
  3. Step 3: Cross multiply
    487,915x = 1,057,280 × 1,057,280
  4. Step 4: Simplify right side
    487,915x = 1,117,840,998,400
  5. Step 5: Solve for x
    x = 1,117,840,998,400/487,915
  6. Step 6: Final answer
    x = 2,291,056.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.