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Finding the Third Proportional to 1,857,814 and 2,871,261

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Solution

The third proportional to 1,857,814 and 2,871,261 is: 4,437,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,814 : 2,871,261 = 2,871,261 : x
  2. Step 2: Convert to fraction form
    1,857,814/2,871,261 = 2,871,261/x
  3. Step 3: Cross multiply
    1,857,814x = 2,871,261 × 2,871,261
  4. Step 4: Simplify right side
    1,857,814x = 8,244,139,730,121
  5. Step 5: Solve for x
    x = 8,244,139,730,121/1,857,814
  6. Step 6: Final answer
    x = 4,437,548.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.