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Finding the Third Proportional to 488,275 and 1,069,645

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Solution

The third proportional to 488,275 and 1,069,645 is: 2,343,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,275 : 1,069,645 = 1,069,645 : x
  2. Step 2: Convert to fraction form
    488,275/1,069,645 = 1,069,645/x
  3. Step 3: Cross multiply
    488,275x = 1,069,645 × 1,069,645
  4. Step 4: Simplify right side
    488,275x = 1,144,140,426,025
  5. Step 5: Solve for x
    x = 1,144,140,426,025/488,275
  6. Step 6: Final answer
    x = 2,343,229.59

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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.