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Finding the Third Proportional to 841,762.13 and 1,851,682.78

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Solution

The third proportional to 841,762.13 and 1,851,682.78 is: 4,073,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,762.13 : 1,851,682.78 = 1,851,682.78 : x
  2. Step 2: Convert to fraction form
    841,762.13/1,851,682.78 = 1,851,682.78/x
  3. Step 3: Cross multiply
    841,762.13x = 1,851,682.78 × 1,851,682.78
  4. Step 4: Simplify right side
    841,762.13x = 3,428,729,122,377.74
  5. Step 5: Solve for x
    x = 3,428,729,122,377.74/841,762.13
  6. Step 6: Final answer
    x = 4,073,275.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.