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Finding the Third Proportional to 560,652 and 847,668

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Solution

The third proportional to 560,652 and 847,668 is: 1,281,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,652 : 847,668 = 847,668 : x
  2. Step 2: Convert to fraction form
    560,652/847,668 = 847,668/x
  3. Step 3: Cross multiply
    560,652x = 847,668 × 847,668
  4. Step 4: Simplify right side
    560,652x = 718,541,038,224
  5. Step 5: Solve for x
    x = 718,541,038,224/560,652
  6. Step 6: Final answer
    x = 1,281,616.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.