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Finding the Third Proportional to 892,644 and 1,248,534

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Solution

The third proportional to 892,644 and 1,248,534 is: 1,746,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,644 : 1,248,534 = 1,248,534 : x
  2. Step 2: Convert to fraction form
    892,644/1,248,534 = 1,248,534/x
  3. Step 3: Cross multiply
    892,644x = 1,248,534 × 1,248,534
  4. Step 4: Simplify right side
    892,644x = 1,558,837,149,156
  5. Step 5: Solve for x
    x = 1,558,837,149,156/892,644
  6. Step 6: Final answer
    x = 1,746,314.49

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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.