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Finding the Third Proportional to 523,268 and 1,126,402

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Solution

The third proportional to 523,268 and 1,126,402 is: 2,424,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,268 : 1,126,402 = 1,126,402 : x
  2. Step 2: Convert to fraction form
    523,268/1,126,402 = 1,126,402/x
  3. Step 3: Cross multiply
    523,268x = 1,126,402 × 1,126,402
  4. Step 4: Simplify right side
    523,268x = 1,268,781,465,604
  5. Step 5: Solve for x
    x = 1,268,781,465,604/523,268
  6. Step 6: Final answer
    x = 2,424,725.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.