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Finding the Third Proportional to 523,900 and 1,148,402

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Solution

The third proportional to 523,900 and 1,148,402 is: 2,517,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,900 : 1,148,402 = 1,148,402 : x
  2. Step 2: Convert to fraction form
    523,900/1,148,402 = 1,148,402/x
  3. Step 3: Cross multiply
    523,900x = 1,148,402 × 1,148,402
  4. Step 4: Simplify right side
    523,900x = 1,318,827,153,604
  5. Step 5: Solve for x
    x = 1,318,827,153,604/523,900
  6. Step 6: Final answer
    x = 2,517,326.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.