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Finding the Third Proportional to 768,921 and 1,780,065

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Solution

The third proportional to 768,921 and 1,780,065 is: 4,120,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,921 : 1,780,065 = 1,780,065 : x
  2. Step 2: Convert to fraction form
    768,921/1,780,065 = 1,780,065/x
  3. Step 3: Cross multiply
    768,921x = 1,780,065 × 1,780,065
  4. Step 4: Simplify right side
    768,921x = 3,168,631,404,225
  5. Step 5: Solve for x
    x = 3,168,631,404,225/768,921
  6. Step 6: Final answer
    x = 4,120,880.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.