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Finding the Third Proportional to 830,524 and 1,281,201

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Solution

The third proportional to 830,524 and 1,281,201 is: 1,976,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,524 : 1,281,201 = 1,281,201 : x
  2. Step 2: Convert to fraction form
    830,524/1,281,201 = 1,281,201/x
  3. Step 3: Cross multiply
    830,524x = 1,281,201 × 1,281,201
  4. Step 4: Simplify right side
    830,524x = 1,641,476,002,401
  5. Step 5: Solve for x
    x = 1,641,476,002,401/830,524
  6. Step 6: Final answer
    x = 1,976,434.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.