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Finding the Third Proportional to 858,306 and 1,298,503

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Solution

The third proportional to 858,306 and 1,298,503 is: 1,964,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,306 : 1,298,503 = 1,298,503 : x
  2. Step 2: Convert to fraction form
    858,306/1,298,503 = 1,298,503/x
  3. Step 3: Cross multiply
    858,306x = 1,298,503 × 1,298,503
  4. Step 4: Simplify right side
    858,306x = 1,686,110,041,009
  5. Step 5: Solve for x
    x = 1,686,110,041,009/858,306
  6. Step 6: Final answer
    x = 1,964,462.61

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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.