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Finding the Third Proportional to 912,892 and 1,853,432

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Solution

The third proportional to 912,892 and 1,853,432 is: 3,762,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,892 : 1,853,432 = 1,853,432 : x
  2. Step 2: Convert to fraction form
    912,892/1,853,432 = 1,853,432/x
  3. Step 3: Cross multiply
    912,892x = 1,853,432 × 1,853,432
  4. Step 4: Simplify right side
    912,892x = 3,435,210,178,624
  5. Step 5: Solve for x
    x = 3,435,210,178,624/912,892
  6. Step 6: Final answer
    x = 3,762,997.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.