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Finding the Third Proportional to 709,053 and 1,517,775

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Solution

The third proportional to 709,053 and 1,517,775 is: 3,248,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,053 : 1,517,775 = 1,517,775 : x
  2. Step 2: Convert to fraction form
    709,053/1,517,775 = 1,517,775/x
  3. Step 3: Cross multiply
    709,053x = 1,517,775 × 1,517,775
  4. Step 4: Simplify right side
    709,053x = 2,303,640,950,625
  5. Step 5: Solve for x
    x = 2,303,640,950,625/709,053
  6. Step 6: Final answer
    x = 3,248,898.11

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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.