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Finding the Third Proportional to 495,915 and 1,074,246

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Solution

The third proportional to 495,915 and 1,074,246 is: 2,327,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,915 : 1,074,246 = 1,074,246 : x
  2. Step 2: Convert to fraction form
    495,915/1,074,246 = 1,074,246/x
  3. Step 3: Cross multiply
    495,915x = 1,074,246 × 1,074,246
  4. Step 4: Simplify right side
    495,915x = 1,154,004,468,516
  5. Step 5: Solve for x
    x = 1,154,004,468,516/495,915
  6. Step 6: Final answer
    x = 2,327,020.70

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Why These Related Problems?

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