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Finding the Third Proportional to 631,315.13 and 947,701.69

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Solution

The third proportional to 631,315.13 and 947,701.69 is: 1,422,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,315.13 : 947,701.69 = 947,701.69 : x
  2. Step 2: Convert to fraction form
    631,315.13/947,701.69 = 947,701.69/x
  3. Step 3: Cross multiply
    631,315.13x = 947,701.69 × 947,701.69
  4. Step 4: Simplify right side
    631,315.13x = 898,138,488,490.35
  5. Step 5: Solve for x
    x = 898,138,488,490.35/631,315.13
  6. Step 6: Final answer
    x = 1,422,646.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.