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Finding the Third Proportional to 858,289 and 1,298,478

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Solution

The third proportional to 858,289 and 1,298,478 is: 1,964,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,289 : 1,298,478 = 1,298,478 : x
  2. Step 2: Convert to fraction form
    858,289/1,298,478 = 1,298,478/x
  3. Step 3: Cross multiply
    858,289x = 1,298,478 × 1,298,478
  4. Step 4: Simplify right side
    858,289x = 1,686,045,116,484
  5. Step 5: Solve for x
    x = 1,686,045,116,484/858,289
  6. Step 6: Final answer
    x = 1,964,425.87

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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.