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Finding the Third Proportional to 414,636 and 895,432

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Solution

The third proportional to 414,636 and 895,432 is: 1,933,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,636 : 895,432 = 895,432 : x
  2. Step 2: Convert to fraction form
    414,636/895,432 = 895,432/x
  3. Step 3: Cross multiply
    414,636x = 895,432 × 895,432
  4. Step 4: Simplify right side
    414,636x = 801,798,466,624
  5. Step 5: Solve for x
    x = 801,798,466,624/414,636
  6. Step 6: Final answer
    x = 1,933,740.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.