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Finding the Third Proportional to 932,140 and 1,986,296

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Solution

The third proportional to 932,140 and 1,986,296 is: 4,232,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,140 : 1,986,296 = 1,986,296 : x
  2. Step 2: Convert to fraction form
    932,140/1,986,296 = 1,986,296/x
  3. Step 3: Cross multiply
    932,140x = 1,986,296 × 1,986,296
  4. Step 4: Simplify right side
    932,140x = 3,945,371,799,616
  5. Step 5: Solve for x
    x = 3,945,371,799,616/932,140
  6. Step 6: Final answer
    x = 4,232,595.75

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.