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Finding the Third Proportional to 723,039 and 1,527,348

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Solution

The third proportional to 723,039 and 1,527,348 is: 3,226,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,039 : 1,527,348 = 1,527,348 : x
  2. Step 2: Convert to fraction form
    723,039/1,527,348 = 1,527,348/x
  3. Step 3: Cross multiply
    723,039x = 1,527,348 × 1,527,348
  4. Step 4: Simplify right side
    723,039x = 2,332,791,913,104
  5. Step 5: Solve for x
    x = 2,332,791,913,104/723,039
  6. Step 6: Final answer
    x = 3,226,370.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.