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Finding the Third Proportional to 1,642,162.50 and 3,527,065

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Solution

The third proportional to 1,642,162.50 and 3,527,065 is: 7,575,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,162.50 : 3,527,065 = 3,527,065 : x
  2. Step 2: Convert to fraction form
    1,642,162.50/3,527,065 = 3,527,065/x
  3. Step 3: Cross multiply
    1,642,162.50x = 3,527,065 × 3,527,065
  4. Step 4: Simplify right side
    1,642,162.50x = 12,440,187,514,225
  5. Step 5: Solve for x
    x = 12,440,187,514,225/1,642,162.50
  6. Step 6: Final answer
    x = 7,575,491.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.