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Finding the Third Proportional to 748,953 and 1,216,791

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Solution

The third proportional to 748,953 and 1,216,791 is: 1,976,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,953 : 1,216,791 = 1,216,791 : x
  2. Step 2: Convert to fraction form
    748,953/1,216,791 = 1,216,791/x
  3. Step 3: Cross multiply
    748,953x = 1,216,791 × 1,216,791
  4. Step 4: Simplify right side
    748,953x = 1,480,580,337,681
  5. Step 5: Solve for x
    x = 1,480,580,337,681/748,953
  6. Step 6: Final answer
    x = 1,976,866.82

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.