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Finding the Third Proportional to 498,969 and 1,097,585

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Solution

The third proportional to 498,969 and 1,097,585 is: 2,414,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,969 : 1,097,585 = 1,097,585 : x
  2. Step 2: Convert to fraction form
    498,969/1,097,585 = 1,097,585/x
  3. Step 3: Cross multiply
    498,969x = 1,097,585 × 1,097,585
  4. Step 4: Simplify right side
    498,969x = 1,204,692,832,225
  5. Step 5: Solve for x
    x = 1,204,692,832,225/498,969
  6. Step 6: Final answer
    x = 2,414,364.08

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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.