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Finding the Third Proportional to 488,289 and 1,069,674

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Solution

The third proportional to 488,289 and 1,069,674 is: 2,343,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,289 : 1,069,674 = 1,069,674 : x
  2. Step 2: Convert to fraction form
    488,289/1,069,674 = 1,069,674/x
  3. Step 3: Cross multiply
    488,289x = 1,069,674 × 1,069,674
  4. Step 4: Simplify right side
    488,289x = 1,144,202,466,276
  5. Step 5: Solve for x
    x = 1,144,202,466,276/488,289
  6. Step 6: Final answer
    x = 2,343,289.46

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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.