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Finding the Third Proportional to 459,828 and 1,010,382

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Solution

The third proportional to 459,828 and 1,010,382 is: 2,220,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,828 : 1,010,382 = 1,010,382 : x
  2. Step 2: Convert to fraction form
    459,828/1,010,382 = 1,010,382/x
  3. Step 3: Cross multiply
    459,828x = 1,010,382 × 1,010,382
  4. Step 4: Simplify right side
    459,828x = 1,020,871,785,924
  5. Step 5: Solve for x
    x = 1,020,871,785,924/459,828
  6. Step 6: Final answer
    x = 2,220,116.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.