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Finding the Third Proportional to 614,478.66 and 1,341,519.47

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Solution

The third proportional to 614,478.66 and 1,341,519.47 is: 2,928,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,478.66 : 1,341,519.47 = 1,341,519.47 : x
  2. Step 2: Convert to fraction form
    614,478.66/1,341,519.47 = 1,341,519.47/x
  3. Step 3: Cross multiply
    614,478.66x = 1,341,519.47 × 1,341,519.47
  4. Step 4: Simplify right side
    614,478.66x = 1,799,674,485,035.28
  5. Step 5: Solve for x
    x = 1,799,674,485,035.28/614,478.66
  6. Step 6: Final answer
    x = 2,928,782.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.