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Finding the Third Proportional to 416,092 and 895,386

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Solution

The third proportional to 416,092 and 895,386 is: 1,926,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,092 : 895,386 = 895,386 : x
  2. Step 2: Convert to fraction form
    416,092/895,386 = 895,386/x
  3. Step 3: Cross multiply
    416,092x = 895,386 × 895,386
  4. Step 4: Simplify right side
    416,092x = 801,716,088,996
  5. Step 5: Solve for x
    x = 801,716,088,996/416,092
  6. Step 6: Final answer
    x = 1,926,776.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.