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Finding the Third Proportional to 498,820 and 1,207,594

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Solution

The third proportional to 498,820 and 1,207,594 is: 2,923,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,820 : 1,207,594 = 1,207,594 : x
  2. Step 2: Convert to fraction form
    498,820/1,207,594 = 1,207,594/x
  3. Step 3: Cross multiply
    498,820x = 1,207,594 × 1,207,594
  4. Step 4: Simplify right side
    498,820x = 1,458,283,268,836
  5. Step 5: Solve for x
    x = 1,458,283,268,836/498,820
  6. Step 6: Final answer
    x = 2,923,465.92

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.