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Finding the Third Proportional to 700,336 and 1,527,408

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Solution

The third proportional to 700,336 and 1,527,408 is: 3,331,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,336 : 1,527,408 = 1,527,408 : x
  2. Step 2: Convert to fraction form
    700,336/1,527,408 = 1,527,408/x
  3. Step 3: Cross multiply
    700,336x = 1,527,408 × 1,527,408
  4. Step 4: Simplify right side
    700,336x = 2,332,975,198,464
  5. Step 5: Solve for x
    x = 2,332,975,198,464/700,336
  6. Step 6: Final answer
    x = 3,331,222.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.