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Finding the Third Proportional to 892,520 and 1,248,360

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Solution

The third proportional to 892,520 and 1,248,360 is: 1,746,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,520 : 1,248,360 = 1,248,360 : x
  2. Step 2: Convert to fraction form
    892,520/1,248,360 = 1,248,360/x
  3. Step 3: Cross multiply
    892,520x = 1,248,360 × 1,248,360
  4. Step 4: Simplify right side
    892,520x = 1,558,402,689,600
  5. Step 5: Solve for x
    x = 1,558,402,689,600/892,520
  6. Step 6: Final answer
    x = 1,746,070.33

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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.