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Finding the Third Proportional to 488,960 and 1,070,080

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Solution

The third proportional to 488,960 and 1,070,080 is: 2,341,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,960 : 1,070,080 = 1,070,080 : x
  2. Step 2: Convert to fraction form
    488,960/1,070,080 = 1,070,080/x
  3. Step 3: Cross multiply
    488,960x = 1,070,080 × 1,070,080
  4. Step 4: Simplify right side
    488,960x = 1,145,071,206,400
  5. Step 5: Solve for x
    x = 1,145,071,206,400/488,960
  6. Step 6: Final answer
    x = 2,341,850.47

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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.