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Finding the Third Proportional to 567,989 and 1,215,781

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Solution

The third proportional to 567,989 and 1,215,781 is: 2,602,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,989 : 1,215,781 = 1,215,781 : x
  2. Step 2: Convert to fraction form
    567,989/1,215,781 = 1,215,781/x
  3. Step 3: Cross multiply
    567,989x = 1,215,781 × 1,215,781
  4. Step 4: Simplify right side
    567,989x = 1,478,123,439,961
  5. Step 5: Solve for x
    x = 1,478,123,439,961/567,989
  6. Step 6: Final answer
    x = 2,602,380.40

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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.