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Finding the Third Proportional to 830,086 and 1,813,943

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Solution

The third proportional to 830,086 and 1,813,943 is: 3,963,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,086 : 1,813,943 = 1,813,943 : x
  2. Step 2: Convert to fraction form
    830,086/1,813,943 = 1,813,943/x
  3. Step 3: Cross multiply
    830,086x = 1,813,943 × 1,813,943
  4. Step 4: Simplify right side
    830,086x = 3,290,389,207,249
  5. Step 5: Solve for x
    x = 3,290,389,207,249/830,086
  6. Step 6: Final answer
    x = 3,963,913.63

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