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Finding the Third Proportional to 858,304 and 1,298,500

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Solution

The third proportional to 858,304 and 1,298,500 is: 1,964,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,304 : 1,298,500 = 1,298,500 : x
  2. Step 2: Convert to fraction form
    858,304/1,298,500 = 1,298,500/x
  3. Step 3: Cross multiply
    858,304x = 1,298,500 × 1,298,500
  4. Step 4: Simplify right side
    858,304x = 1,686,102,250,000
  5. Step 5: Solve for x
    x = 1,686,102,250,000/858,304
  6. Step 6: Final answer
    x = 1,964,458.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.