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Finding the Third Proportional to 565,534 and 1,230,940

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Solution

The third proportional to 565,534 and 1,230,940 is: 2,679,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,534 : 1,230,940 = 1,230,940 : x
  2. Step 2: Convert to fraction form
    565,534/1,230,940 = 1,230,940/x
  3. Step 3: Cross multiply
    565,534x = 1,230,940 × 1,230,940
  4. Step 4: Simplify right side
    565,534x = 1,515,213,283,600
  5. Step 5: Solve for x
    x = 1,515,213,283,600/565,534
  6. Step 6: Final answer
    x = 2,679,261.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.