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Finding the Third Proportional to 686,892 and 1,475,352

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Solution

The third proportional to 686,892 and 1,475,352 is: 3,168,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,892 : 1,475,352 = 1,475,352 : x
  2. Step 2: Convert to fraction form
    686,892/1,475,352 = 1,475,352/x
  3. Step 3: Cross multiply
    686,892x = 1,475,352 × 1,475,352
  4. Step 4: Simplify right side
    686,892x = 2,176,663,523,904
  5. Step 5: Solve for x
    x = 2,176,663,523,904/686,892
  6. Step 6: Final answer
    x = 3,168,858.46

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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.