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Finding the Third Proportional to 847,748.25 and 1,280,262.38

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Solution

The third proportional to 847,748.25 and 1,280,262.38 is: 1,933,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,748.25 : 1,280,262.38 = 1,280,262.38 : x
  2. Step 2: Convert to fraction form
    847,748.25/1,280,262.38 = 1,280,262.38/x
  3. Step 3: Cross multiply
    847,748.25x = 1,280,262.38 × 1,280,262.38
  4. Step 4: Simplify right side
    847,748.25x = 1,639,071,748,840.64
  5. Step 5: Solve for x
    x = 1,639,071,748,840.64/847,748.25
  6. Step 6: Final answer
    x = 1,933,441.62

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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.