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Finding the Third Proportional to 827,020 and 1,754,415

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Solution

The third proportional to 827,020 and 1,754,415 is: 3,721,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,020 : 1,754,415 = 1,754,415 : x
  2. Step 2: Convert to fraction form
    827,020/1,754,415 = 1,754,415/x
  3. Step 3: Cross multiply
    827,020x = 1,754,415 × 1,754,415
  4. Step 4: Simplify right side
    827,020x = 3,077,971,992,225
  5. Step 5: Solve for x
    x = 3,077,971,992,225/827,020
  6. Step 6: Final answer
    x = 3,721,762.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.