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Finding the Third Proportional to 832,452 and 1,768,584

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Solution

The third proportional to 832,452 and 1,768,584 is: 3,757,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,452 : 1,768,584 = 1,768,584 : x
  2. Step 2: Convert to fraction form
    832,452/1,768,584 = 1,768,584/x
  3. Step 3: Cross multiply
    832,452x = 1,768,584 × 1,768,584
  4. Step 4: Simplify right side
    832,452x = 3,127,889,365,056
  5. Step 5: Solve for x
    x = 3,127,889,365,056/832,452
  6. Step 6: Final answer
    x = 3,757,441.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.