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Finding the Third Proportional to 591,176 and 1,266,352

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Solution

The third proportional to 591,176 and 1,266,352 is: 2,712,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,176 : 1,266,352 = 1,266,352 : x
  2. Step 2: Convert to fraction form
    591,176/1,266,352 = 1,266,352/x
  3. Step 3: Cross multiply
    591,176x = 1,266,352 × 1,266,352
  4. Step 4: Simplify right side
    591,176x = 1,603,647,387,904
  5. Step 5: Solve for x
    x = 1,603,647,387,904/591,176
  6. Step 6: Final answer
    x = 2,712,639.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.