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Finding the Third Proportional to 676,950 and 1,470,432

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Solution

The third proportional to 676,950 and 1,470,432 is: 3,193,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,950 : 1,470,432 = 1,470,432 : x
  2. Step 2: Convert to fraction form
    676,950/1,470,432 = 1,470,432/x
  3. Step 3: Cross multiply
    676,950x = 1,470,432 × 1,470,432
  4. Step 4: Simplify right side
    676,950x = 2,162,170,266,624
  5. Step 5: Solve for x
    x = 2,162,170,266,624/676,950
  6. Step 6: Final answer
    x = 3,193,988.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.