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Finding the Third Proportional to 611,913 and 1,325,523

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Solution

The third proportional to 611,913 and 1,325,523 is: 2,871,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,913 : 1,325,523 = 1,325,523 : x
  2. Step 2: Convert to fraction form
    611,913/1,325,523 = 1,325,523/x
  3. Step 3: Cross multiply
    611,913x = 1,325,523 × 1,325,523
  4. Step 4: Simplify right side
    611,913x = 1,757,011,223,529
  5. Step 5: Solve for x
    x = 1,757,011,223,529/611,913
  6. Step 6: Final answer
    x = 2,871,341.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.