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Finding the Third Proportional to 758,814 and 1,625,800

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Solution

The third proportional to 758,814 and 1,625,800 is: 3,483,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,814 : 1,625,800 = 1,625,800 : x
  2. Step 2: Convert to fraction form
    758,814/1,625,800 = 1,625,800/x
  3. Step 3: Cross multiply
    758,814x = 1,625,800 × 1,625,800
  4. Step 4: Simplify right side
    758,814x = 2,643,225,640,000
  5. Step 5: Solve for x
    x = 2,643,225,640,000/758,814
  6. Step 6: Final answer
    x = 3,483,364.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.