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Finding the Third Proportional to 730,774.13 and 1,594,347.75

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Solution

The third proportional to 730,774.13 and 1,594,347.75 is: 3,478,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,774.13 : 1,594,347.75 = 1,594,347.75 : x
  2. Step 2: Convert to fraction form
    730,774.13/1,594,347.75 = 1,594,347.75/x
  3. Step 3: Cross multiply
    730,774.13x = 1,594,347.75 × 1,594,347.75
  4. Step 4: Simplify right side
    730,774.13x = 2,541,944,747,930.06
  5. Step 5: Solve for x
    x = 2,541,944,747,930.06/730,774.13
  6. Step 6: Final answer
    x = 3,478,427.41

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