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Finding the Third Proportional to 798,512 and 1,201,008

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Solution

The third proportional to 798,512 and 1,201,008 is: 1,806,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,512 : 1,201,008 = 1,201,008 : x
  2. Step 2: Convert to fraction form
    798,512/1,201,008 = 1,201,008/x
  3. Step 3: Cross multiply
    798,512x = 1,201,008 × 1,201,008
  4. Step 4: Simplify right side
    798,512x = 1,442,420,216,064
  5. Step 5: Solve for x
    x = 1,442,420,216,064/798,512
  6. Step 6: Final answer
    x = 1,806,385.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.