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Finding the Third Proportional to 2,074,127.50 and 3,140,169

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Solution

The third proportional to 2,074,127.50 and 3,140,169 is: 4,754,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,127.50 : 3,140,169 = 3,140,169 : x
  2. Step 2: Convert to fraction form
    2,074,127.50/3,140,169 = 3,140,169/x
  3. Step 3: Cross multiply
    2,074,127.50x = 3,140,169 × 3,140,169
  4. Step 4: Simplify right side
    2,074,127.50x = 9,860,661,348,561
  5. Step 5: Solve for x
    x = 9,860,661,348,561/2,074,127.50
  6. Step 6: Final answer
    x = 4,754,124.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.