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Finding the Third Proportional to 830,746 and 1,787,851

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Solution

The third proportional to 830,746 and 1,787,851 is: 3,847,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,746 : 1,787,851 = 1,787,851 : x
  2. Step 2: Convert to fraction form
    830,746/1,787,851 = 1,787,851/x
  3. Step 3: Cross multiply
    830,746x = 1,787,851 × 1,787,851
  4. Step 4: Simplify right side
    830,746x = 3,196,411,198,201
  5. Step 5: Solve for x
    x = 3,196,411,198,201/830,746
  6. Step 6: Final answer
    x = 3,847,639.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.