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Finding the Third Proportional to 2,709,572 and 3,989,511

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Solution

The third proportional to 2,709,572 and 3,989,511 is: 5,874,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,572 : 3,989,511 = 3,989,511 : x
  2. Step 2: Convert to fraction form
    2,709,572/3,989,511 = 3,989,511/x
  3. Step 3: Cross multiply
    2,709,572x = 3,989,511 × 3,989,511
  4. Step 4: Simplify right side
    2,709,572x = 15,916,198,019,121
  5. Step 5: Solve for x
    x = 15,916,198,019,121/2,709,572
  6. Step 6: Final answer
    x = 5,874,063.51

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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.