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Finding the Third Proportional to 987,210 and 1,443,415

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Solution

The third proportional to 987,210 and 1,443,415 is: 2,110,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,210 : 1,443,415 = 1,443,415 : x
  2. Step 2: Convert to fraction form
    987,210/1,443,415 = 1,443,415/x
  3. Step 3: Cross multiply
    987,210x = 1,443,415 × 1,443,415
  4. Step 4: Simplify right side
    987,210x = 2,083,446,862,225
  5. Step 5: Solve for x
    x = 2,083,446,862,225/987,210
  6. Step 6: Final answer
    x = 2,110,439.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.