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Finding the Third Proportional to 2,137,806 and 3,209,523

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Solution

The third proportional to 2,137,806 and 3,209,523 is: 4,818,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,806 : 3,209,523 = 3,209,523 : x
  2. Step 2: Convert to fraction form
    2,137,806/3,209,523 = 3,209,523/x
  3. Step 3: Cross multiply
    2,137,806x = 3,209,523 × 3,209,523
  4. Step 4: Simplify right side
    2,137,806x = 10,301,037,887,529
  5. Step 5: Solve for x
    x = 10,301,037,887,529/2,137,806
  6. Step 6: Final answer
    x = 4,818,509.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.