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Finding the Third Proportional to 1,776,432 and 2,564,049

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Solution

The third proportional to 1,776,432 and 2,564,049 is: 3,700,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,432 : 2,564,049 = 2,564,049 : x
  2. Step 2: Convert to fraction form
    1,776,432/2,564,049 = 2,564,049/x
  3. Step 3: Cross multiply
    1,776,432x = 2,564,049 × 2,564,049
  4. Step 4: Simplify right side
    1,776,432x = 6,574,347,274,401
  5. Step 5: Solve for x
    x = 6,574,347,274,401/1,776,432
  6. Step 6: Final answer
    x = 3,700,871.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.