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Finding the Third Proportional to 892,646 and 1,248,537

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Solution

The third proportional to 892,646 and 1,248,537 is: 1,746,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,646 : 1,248,537 = 1,248,537 : x
  2. Step 2: Convert to fraction form
    892,646/1,248,537 = 1,248,537/x
  3. Step 3: Cross multiply
    892,646x = 1,248,537 × 1,248,537
  4. Step 4: Simplify right side
    892,646x = 1,558,844,640,369
  5. Step 5: Solve for x
    x = 1,558,844,640,369/892,646
  6. Step 6: Final answer
    x = 1,746,318.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.