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Finding the Third Proportional to 583,884 and 1,255,065

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Solution

The third proportional to 583,884 and 1,255,065 is: 2,697,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,884 : 1,255,065 = 1,255,065 : x
  2. Step 2: Convert to fraction form
    583,884/1,255,065 = 1,255,065/x
  3. Step 3: Cross multiply
    583,884x = 1,255,065 × 1,255,065
  4. Step 4: Simplify right side
    583,884x = 1,575,188,154,225
  5. Step 5: Solve for x
    x = 1,575,188,154,225/583,884
  6. Step 6: Final answer
    x = 2,697,775.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.