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Finding the Third Proportional to 2,138,421 and 2,826,607.50

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Solution

The third proportional to 2,138,421 and 2,826,607.50 is: 3,736,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,421 : 2,826,607.50 = 2,826,607.50 : x
  2. Step 2: Convert to fraction form
    2,138,421/2,826,607.50 = 2,826,607.50/x
  3. Step 3: Cross multiply
    2,138,421x = 2,826,607.50 × 2,826,607.50
  4. Step 4: Simplify right side
    2,138,421x = 7,989,709,959,056.25
  5. Step 5: Solve for x
    x = 7,989,709,959,056.25/2,138,421
  6. Step 6: Final answer
    x = 3,736,266.13

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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.