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Finding the Third Proportional to 830,439 and 1,798,615

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Solution

The third proportional to 830,439 and 1,798,615 is: 3,895,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,439 : 1,798,615 = 1,798,615 : x
  2. Step 2: Convert to fraction form
    830,439/1,798,615 = 1,798,615/x
  3. Step 3: Cross multiply
    830,439x = 1,798,615 × 1,798,615
  4. Step 4: Simplify right side
    830,439x = 3,235,015,918,225
  5. Step 5: Solve for x
    x = 3,235,015,918,225/830,439
  6. Step 6: Final answer
    x = 3,895,549.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.