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Finding the Third Proportional to 2,138,426 and 2,826,614

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Solution

The third proportional to 2,138,426 and 2,826,614 is: 3,736,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,426 : 2,826,614 = 2,826,614 : x
  2. Step 2: Convert to fraction form
    2,138,426/2,826,614 = 2,826,614/x
  3. Step 3: Cross multiply
    2,138,426x = 2,826,614 × 2,826,614
  4. Step 4: Simplify right side
    2,138,426x = 7,989,746,704,996
  5. Step 5: Solve for x
    x = 7,989,746,704,996/2,138,426
  6. Step 6: Final answer
    x = 3,736,274.58

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.