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Finding the Third Proportional to 1,031,640 and 2,240,382

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Solution

The third proportional to 1,031,640 and 2,240,382 is: 4,865,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,640 : 2,240,382 = 2,240,382 : x
  2. Step 2: Convert to fraction form
    1,031,640/2,240,382 = 2,240,382/x
  3. Step 3: Cross multiply
    1,031,640x = 2,240,382 × 2,240,382
  4. Step 4: Simplify right side
    1,031,640x = 5,019,311,505,924
  5. Step 5: Solve for x
    x = 5,019,311,505,924/1,031,640
  6. Step 6: Final answer
    x = 4,865,371.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.