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Finding the Third Proportional to 560,961 and 1,216,566

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Solution

The third proportional to 560,961 and 1,216,566 is: 2,638,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,961 : 1,216,566 = 1,216,566 : x
  2. Step 2: Convert to fraction form
    560,961/1,216,566 = 1,216,566/x
  3. Step 3: Cross multiply
    560,961x = 1,216,566 × 1,216,566
  4. Step 4: Simplify right side
    560,961x = 1,480,032,832,356
  5. Step 5: Solve for x
    x = 1,480,032,832,356/560,961
  6. Step 6: Final answer
    x = 2,638,388.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.