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Finding the Third Proportional to 723,580 and 1,466,864

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Solution

The third proportional to 723,580 and 1,466,864 is: 2,973,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,580 : 1,466,864 = 1,466,864 : x
  2. Step 2: Convert to fraction form
    723,580/1,466,864 = 1,466,864/x
  3. Step 3: Cross multiply
    723,580x = 1,466,864 × 1,466,864
  4. Step 4: Simplify right side
    723,580x = 2,151,689,994,496
  5. Step 5: Solve for x
    x = 2,151,689,994,496/723,580
  6. Step 6: Final answer
    x = 2,973,672.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.