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Finding the Third Proportional to 717,525 and 1,509,408

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Solution

The third proportional to 717,525 and 1,509,408 is: 3,175,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,525 : 1,509,408 = 1,509,408 : x
  2. Step 2: Convert to fraction form
    717,525/1,509,408 = 1,509,408/x
  3. Step 3: Cross multiply
    717,525x = 1,509,408 × 1,509,408
  4. Step 4: Simplify right side
    717,525x = 2,278,312,510,464
  5. Step 5: Solve for x
    x = 2,278,312,510,464/717,525
  6. Step 6: Final answer
    x = 3,175,237.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.