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Finding the Third Proportional to 892,448 and 1,301,289

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Solution

The third proportional to 892,448 and 1,301,289 is: 1,897,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,448 : 1,301,289 = 1,301,289 : x
  2. Step 2: Convert to fraction form
    892,448/1,301,289 = 1,301,289/x
  3. Step 3: Cross multiply
    892,448x = 1,301,289 × 1,301,289
  4. Step 4: Simplify right side
    892,448x = 1,693,353,061,521
  5. Step 5: Solve for x
    x = 1,693,353,061,521/892,448
  6. Step 6: Final answer
    x = 1,897,424.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.