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Finding the Third Proportional to 871,784 and 1,312,700

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Solution

The third proportional to 871,784 and 1,312,700 is: 1,976,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,784 : 1,312,700 = 1,312,700 : x
  2. Step 2: Convert to fraction form
    871,784/1,312,700 = 1,312,700/x
  3. Step 3: Cross multiply
    871,784x = 1,312,700 × 1,312,700
  4. Step 4: Simplify right side
    871,784x = 1,723,181,290,000
  5. Step 5: Solve for x
    x = 1,723,181,290,000/871,784
  6. Step 6: Final answer
    x = 1,976,614.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.