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Finding the Third Proportional to 886,464 and 1,298,247.75

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Solution

The third proportional to 886,464 and 1,298,247.75 is: 1,901,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,464 : 1,298,247.75 = 1,298,247.75 : x
  2. Step 2: Convert to fraction form
    886,464/1,298,247.75 = 1,298,247.75/x
  3. Step 3: Cross multiply
    886,464x = 1,298,247.75 × 1,298,247.75
  4. Step 4: Simplify right side
    886,464x = 1,685,447,220,380.06
  5. Step 5: Solve for x
    x = 1,685,447,220,380.06/886,464
  6. Step 6: Final answer
    x = 1,901,314.91

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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.