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Finding the Third Proportional to 662,222.25 and 1,025,166.38

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Solution

The third proportional to 662,222.25 and 1,025,166.38 is: 1,587,029.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,222.25 : 1,025,166.38 = 1,025,166.38 : x
  2. Step 2: Convert to fraction form
    662,222.25/1,025,166.38 = 1,025,166.38/x
  3. Step 3: Cross multiply
    662,222.25x = 1,025,166.38 × 1,025,166.38
  4. Step 4: Simplify right side
    662,222.25x = 1,050,966,096,430.64
  5. Step 5: Solve for x
    x = 1,050,966,096,430.64/662,222.25
  6. Step 6: Final answer
    x = 1,587,029.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.