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Finding the Third Proportional to 850,430 and 1,304,927

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Solution

The third proportional to 850,430 and 1,304,927 is: 2,002,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,430 : 1,304,927 = 1,304,927 : x
  2. Step 2: Convert to fraction form
    850,430/1,304,927 = 1,304,927/x
  3. Step 3: Cross multiply
    850,430x = 1,304,927 × 1,304,927
  4. Step 4: Simplify right side
    850,430x = 1,702,834,475,329
  5. Step 5: Solve for x
    x = 1,702,834,475,329/850,430
  6. Step 6: Final answer
    x = 2,002,321.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.