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Finding the Third Proportional to 718,674 and 1,077,921

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Solution

The third proportional to 718,674 and 1,077,921 is: 1,616,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,674 : 1,077,921 = 1,077,921 : x
  2. Step 2: Convert to fraction form
    718,674/1,077,921 = 1,077,921/x
  3. Step 3: Cross multiply
    718,674x = 1,077,921 × 1,077,921
  4. Step 4: Simplify right side
    718,674x = 1,161,913,682,241
  5. Step 5: Solve for x
    x = 1,161,913,682,241/718,674
  6. Step 6: Final answer
    x = 1,616,746.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.