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Finding the Third Proportional to 3,174,570 and 4,790,475

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Solution

The third proportional to 3,174,570 and 4,790,475 is: 7,228,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,570 : 4,790,475 = 4,790,475 : x
  2. Step 2: Convert to fraction form
    3,174,570/4,790,475 = 4,790,475/x
  3. Step 3: Cross multiply
    3,174,570x = 4,790,475 × 4,790,475
  4. Step 4: Simplify right side
    3,174,570x = 22,948,650,725,625
  5. Step 5: Solve for x
    x = 22,948,650,725,625/3,174,570
  6. Step 6: Final answer
    x = 7,228,900.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.