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Finding the Third Proportional to 561,332 and 1,199,938

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Solution

The third proportional to 561,332 and 1,199,938 is: 2,565,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,332 : 1,199,938 = 1,199,938 : x
  2. Step 2: Convert to fraction form
    561,332/1,199,938 = 1,199,938/x
  3. Step 3: Cross multiply
    561,332x = 1,199,938 × 1,199,938
  4. Step 4: Simplify right side
    561,332x = 1,439,851,203,844
  5. Step 5: Solve for x
    x = 1,439,851,203,844/561,332
  6. Step 6: Final answer
    x = 2,565,061.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.