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Finding the Third Proportional to 709,152 and 1,531,974

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Solution

The third proportional to 709,152 and 1,531,974 is: 3,309,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,152 : 1,531,974 = 1,531,974 : x
  2. Step 2: Convert to fraction form
    709,152/1,531,974 = 1,531,974/x
  3. Step 3: Cross multiply
    709,152x = 1,531,974 × 1,531,974
  4. Step 4: Simplify right side
    709,152x = 2,346,944,336,676
  5. Step 5: Solve for x
    x = 2,346,944,336,676/709,152
  6. Step 6: Final answer
    x = 3,309,508.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.