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Finding the Third Proportional to 775,415 and 1,158,475

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Solution

The third proportional to 775,415 and 1,158,475 is: 1,730,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,415 : 1,158,475 = 1,158,475 : x
  2. Step 2: Convert to fraction form
    775,415/1,158,475 = 1,158,475/x
  3. Step 3: Cross multiply
    775,415x = 1,158,475 × 1,158,475
  4. Step 4: Simplify right side
    775,415x = 1,342,064,325,625
  5. Step 5: Solve for x
    x = 1,342,064,325,625/775,415
  6. Step 6: Final answer
    x = 1,730,769.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.