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Finding the Third Proportional to 561,866 and 1,202,464

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Solution

The third proportional to 561,866 and 1,202,464 is: 2,573,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,866 : 1,202,464 = 1,202,464 : x
  2. Step 2: Convert to fraction form
    561,866/1,202,464 = 1,202,464/x
  3. Step 3: Cross multiply
    561,866x = 1,202,464 × 1,202,464
  4. Step 4: Simplify right side
    561,866x = 1,445,919,671,296
  5. Step 5: Solve for x
    x = 1,445,919,671,296/561,866
  6. Step 6: Final answer
    x = 2,573,424.40

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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.