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Finding the Third Proportional to 2,542,088 and 3,727,596

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Solution

The third proportional to 2,542,088 and 3,727,596 is: 5,465,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542,088 : 3,727,596 = 3,727,596 : x
  2. Step 2: Convert to fraction form
    2,542,088/3,727,596 = 3,727,596/x
  3. Step 3: Cross multiply
    2,542,088x = 3,727,596 × 3,727,596
  4. Step 4: Simplify right side
    2,542,088x = 13,894,971,939,216
  5. Step 5: Solve for x
    x = 13,894,971,939,216/2,542,088
  6. Step 6: Final answer
    x = 5,465,968.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.