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Finding the Third Proportional to 1,846,304 and 2,709,549

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Solution

The third proportional to 1,846,304 and 2,709,549 is: 3,976,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,304 : 2,709,549 = 2,709,549 : x
  2. Step 2: Convert to fraction form
    1,846,304/2,709,549 = 2,709,549/x
  3. Step 3: Cross multiply
    1,846,304x = 2,709,549 × 2,709,549
  4. Step 4: Simplify right side
    1,846,304x = 7,341,655,783,401
  5. Step 5: Solve for x
    x = 7,341,655,783,401/1,846,304
  6. Step 6: Final answer
    x = 3,976,406.80

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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.