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Finding the Third Proportional to 830,084 and 1,813,939

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Solution

The third proportional to 830,084 and 1,813,939 is: 3,963,905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,084 : 1,813,939 = 1,813,939 : x
  2. Step 2: Convert to fraction form
    830,084/1,813,939 = 1,813,939/x
  3. Step 3: Cross multiply
    830,084x = 1,813,939 × 1,813,939
  4. Step 4: Simplify right side
    830,084x = 3,290,374,695,721
  5. Step 5: Solve for x
    x = 3,290,374,695,721/830,084
  6. Step 6: Final answer
    x = 3,963,905.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.