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Finding the Third Proportional to 830,760 and 1,807,317

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Solution

The third proportional to 830,760 and 1,807,317 is: 3,931,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,760 : 1,807,317 = 1,807,317 : x
  2. Step 2: Convert to fraction form
    830,760/1,807,317 = 1,807,317/x
  3. Step 3: Cross multiply
    830,760x = 1,807,317 × 1,807,317
  4. Step 4: Simplify right side
    830,760x = 3,266,394,738,489
  5. Step 5: Solve for x
    x = 3,266,394,738,489/830,760
  6. Step 6: Final answer
    x = 3,931,815.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.