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Finding the Third Proportional to 709,056 and 1,517,781

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Solution

The third proportional to 709,056 and 1,517,781 is: 3,248,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,056 : 1,517,781 = 1,517,781 : x
  2. Step 2: Convert to fraction form
    709,056/1,517,781 = 1,517,781/x
  3. Step 3: Cross multiply
    709,056x = 1,517,781 × 1,517,781
  4. Step 4: Simplify right side
    709,056x = 2,303,659,163,961
  5. Step 5: Solve for x
    x = 2,303,659,163,961/709,056
  6. Step 6: Final answer
    x = 3,248,910.05

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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.