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Finding the Third Proportional to 971,527 and 1,523,849

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Solution

The third proportional to 971,527 and 1,523,849 is: 2,390,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,527 : 1,523,849 = 1,523,849 : x
  2. Step 2: Convert to fraction form
    971,527/1,523,849 = 1,523,849/x
  3. Step 3: Cross multiply
    971,527x = 1,523,849 × 1,523,849
  4. Step 4: Simplify right side
    971,527x = 2,322,115,774,801
  5. Step 5: Solve for x
    x = 2,322,115,774,801/971,527
  6. Step 6: Final answer
    x = 2,390,171.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.