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Finding the Third Proportional to 733,988 and 1,488,724

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Solution

The third proportional to 733,988 and 1,488,724 is: 3,019,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,988 : 1,488,724 = 1,488,724 : x
  2. Step 2: Convert to fraction form
    733,988/1,488,724 = 1,488,724/x
  3. Step 3: Cross multiply
    733,988x = 1,488,724 × 1,488,724
  4. Step 4: Simplify right side
    733,988x = 2,216,299,148,176
  5. Step 5: Solve for x
    x = 2,216,299,148,176/733,988
  6. Step 6: Final answer
    x = 3,019,530.49

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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.