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Finding the Third Proportional to 870,741 and 1,344,930

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Solution

The third proportional to 870,741 and 1,344,930 is: 2,077,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,741 : 1,344,930 = 1,344,930 : x
  2. Step 2: Convert to fraction form
    870,741/1,344,930 = 1,344,930/x
  3. Step 3: Cross multiply
    870,741x = 1,344,930 × 1,344,930
  4. Step 4: Simplify right side
    870,741x = 1,808,836,704,900
  5. Step 5: Solve for x
    x = 1,808,836,704,900/870,741
  6. Step 6: Final answer
    x = 2,077,353.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.