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Finding the Third Proportional to 732,784 and 1,544,288

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Solution

The third proportional to 732,784 and 1,544,288 is: 3,254,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,784 : 1,544,288 = 1,544,288 : x
  2. Step 2: Convert to fraction form
    732,784/1,544,288 = 1,544,288/x
  3. Step 3: Cross multiply
    732,784x = 1,544,288 × 1,544,288
  4. Step 4: Simplify right side
    732,784x = 2,384,825,426,944
  5. Step 5: Solve for x
    x = 2,384,825,426,944/732,784
  6. Step 6: Final answer
    x = 3,254,472.57

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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.