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Finding the Third Proportional to 847,256 and 1,244,940

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Solution

The third proportional to 847,256 and 1,244,940 is: 1,829,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,256 : 1,244,940 = 1,244,940 : x
  2. Step 2: Convert to fraction form
    847,256/1,244,940 = 1,244,940/x
  3. Step 3: Cross multiply
    847,256x = 1,244,940 × 1,244,940
  4. Step 4: Simplify right side
    847,256x = 1,549,875,603,600
  5. Step 5: Solve for x
    x = 1,549,875,603,600/847,256
  6. Step 6: Final answer
    x = 1,829,288.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.