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Finding the Third Proportional to 4,064,591.81 and 5,944,291.31

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Solution

The third proportional to 4,064,591.81 and 5,944,291.31 is: 8,693,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064,591.81 : 5,944,291.31 = 5,944,291.31 : x
  2. Step 2: Convert to fraction form
    4,064,591.81/5,944,291.31 = 5,944,291.31/x
  3. Step 3: Cross multiply
    4,064,591.81x = 5,944,291.31 × 5,944,291.31
  4. Step 4: Simplify right side
    4,064,591.81x = 35,334,599,207,862.97
  5. Step 5: Solve for x
    x = 35,334,599,207,862.97/4,064,591.81
  6. Step 6: Final answer
    x = 8,693,271.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.