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Finding the Third Proportional to 407,384 and 895,120

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Solution

The third proportional to 407,384 and 895,120 is: 1,966,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,384 : 895,120 = 895,120 : x
  2. Step 2: Convert to fraction form
    407,384/895,120 = 895,120/x
  3. Step 3: Cross multiply
    407,384x = 895,120 × 895,120
  4. Step 4: Simplify right side
    407,384x = 801,239,814,400
  5. Step 5: Solve for x
    x = 801,239,814,400/407,384
  6. Step 6: Final answer
    x = 1,966,792.55

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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.