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Finding the Third Proportional to 2,034,384 and 2,989,296

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Solution

The third proportional to 2,034,384 and 2,989,296 is: 4,392,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,384 : 2,989,296 = 2,989,296 : x
  2. Step 2: Convert to fraction form
    2,034,384/2,989,296 = 2,989,296/x
  3. Step 3: Cross multiply
    2,034,384x = 2,989,296 × 2,989,296
  4. Step 4: Simplify right side
    2,034,384x = 8,935,890,575,616
  5. Step 5: Solve for x
    x = 8,935,890,575,616/2,034,384
  6. Step 6: Final answer
    x = 4,392,430.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.