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Finding the Third Proportional to 742,807.13 and 1,627,588.13

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Solution

The third proportional to 742,807.13 and 1,627,588.13 is: 3,566,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,807.13 : 1,627,588.13 = 1,627,588.13 : x
  2. Step 2: Convert to fraction form
    742,807.13/1,627,588.13 = 1,627,588.13/x
  3. Step 3: Cross multiply
    742,807.13x = 1,627,588.13 × 1,627,588.13
  4. Step 4: Simplify right side
    742,807.13x = 2,649,043,104,641.02
  5. Step 5: Solve for x
    x = 2,649,043,104,641.02/742,807.13
  6. Step 6: Final answer
    x = 3,566,259.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.