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Finding the Third Proportional to 1,841,332.50 and 4,017,215.25

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Solution

The third proportional to 1,841,332.50 and 4,017,215.25 is: 8,764,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,332.50 : 4,017,215.25 = 4,017,215.25 : x
  2. Step 2: Convert to fraction form
    1,841,332.50/4,017,215.25 = 4,017,215.25/x
  3. Step 3: Cross multiply
    1,841,332.50x = 4,017,215.25 × 4,017,215.25
  4. Step 4: Simplify right side
    1,841,332.50x = 16,138,018,364,832.56
  5. Step 5: Solve for x
    x = 16,138,018,364,832.56/1,841,332.50
  6. Step 6: Final answer
    x = 8,764,315.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.