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Finding the Third Proportional to 416,726 and 898,360

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Solution

The third proportional to 416,726 and 898,360 is: 1,936,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,726 : 898,360 = 898,360 : x
  2. Step 2: Convert to fraction form
    416,726/898,360 = 898,360/x
  3. Step 3: Cross multiply
    416,726x = 898,360 × 898,360
  4. Step 4: Simplify right side
    416,726x = 807,050,689,600
  5. Step 5: Solve for x
    x = 807,050,689,600/416,726
  6. Step 6: Final answer
    x = 1,936,645.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.