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Finding the Third Proportional to 892,450 and 1,301,292

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Solution

The third proportional to 892,450 and 1,301,292 is: 1,897,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,450 : 1,301,292 = 1,301,292 : x
  2. Step 2: Convert to fraction form
    892,450/1,301,292 = 1,301,292/x
  3. Step 3: Cross multiply
    892,450x = 1,301,292 × 1,301,292
  4. Step 4: Simplify right side
    892,450x = 1,693,360,869,264
  5. Step 5: Solve for x
    x = 1,693,360,869,264/892,450
  6. Step 6: Final answer
    x = 1,897,429.40

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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.