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Finding the Third Proportional to 726,939 and 1,490,139

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Solution

The third proportional to 726,939 and 1,490,139 is: 3,054,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,939 : 1,490,139 = 1,490,139 : x
  2. Step 2: Convert to fraction form
    726,939/1,490,139 = 1,490,139/x
  3. Step 3: Cross multiply
    726,939x = 1,490,139 × 1,490,139
  4. Step 4: Simplify right side
    726,939x = 2,220,514,239,321
  5. Step 5: Solve for x
    x = 2,220,514,239,321/726,939
  6. Step 6: Final answer
    x = 3,054,608.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.