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Finding the Third Proportional to 1,187,784 and 1,912,410

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Solution

The third proportional to 1,187,784 and 1,912,410 is: 3,079,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,784 : 1,912,410 = 1,912,410 : x
  2. Step 2: Convert to fraction form
    1,187,784/1,912,410 = 1,912,410/x
  3. Step 3: Cross multiply
    1,187,784x = 1,912,410 × 1,912,410
  4. Step 4: Simplify right side
    1,187,784x = 3,657,312,008,100
  5. Step 5: Solve for x
    x = 3,657,312,008,100/1,187,784
  6. Step 6: Final answer
    x = 3,079,105.30

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.