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Finding the Third Proportional to 742,806.50 and 1,627,587

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Solution

The third proportional to 742,806.50 and 1,627,587 is: 3,566,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,806.50 : 1,627,587 = 1,627,587 : x
  2. Step 2: Convert to fraction form
    742,806.50/1,627,587 = 1,627,587/x
  3. Step 3: Cross multiply
    742,806.50x = 1,627,587 × 1,627,587
  4. Step 4: Simplify right side
    742,806.50x = 2,649,039,442,569
  5. Step 5: Solve for x
    x = 2,649,039,442,569/742,806.50
  6. Step 6: Final answer
    x = 3,566,257.76

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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.