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Finding the Third Proportional to 4,098,227.63 and 6,114,126.38

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Solution

The third proportional to 4,098,227.63 and 6,114,126.38 is: 9,121,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098,227.63 : 6,114,126.38 = 6,114,126.38 : x
  2. Step 2: Convert to fraction form
    4,098,227.63/6,114,126.38 = 6,114,126.38/x
  3. Step 3: Cross multiply
    4,098,227.63x = 6,114,126.38 × 6,114,126.38
  4. Step 4: Simplify right side
    4,098,227.63x = 37,382,541,329,470.64
  5. Step 5: Solve for x
    x = 37,382,541,329,470.64/4,098,227.63
  6. Step 6: Final answer
    x = 9,121,636.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.