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Finding the Third Proportional to 416,988 and 915,168.38

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Solution

The third proportional to 416,988 and 915,168.38 is: 2,008,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,988 : 915,168.38 = 915,168.38 : x
  2. Step 2: Convert to fraction form
    416,988/915,168.38 = 915,168.38/x
  3. Step 3: Cross multiply
    416,988x = 915,168.38 × 915,168.38
  4. Step 4: Simplify right side
    416,988x = 837,533,154,600.14
  5. Step 5: Solve for x
    x = 837,533,154,600.14/416,988
  6. Step 6: Final answer
    x = 2,008,530.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.