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Finding the Third Proportional to 711,808 and 1,566,218

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Solution

The third proportional to 711,808 and 1,566,218 is: 3,446,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,808 : 1,566,218 = 1,566,218 : x
  2. Step 2: Convert to fraction form
    711,808/1,566,218 = 1,566,218/x
  3. Step 3: Cross multiply
    711,808x = 1,566,218 × 1,566,218
  4. Step 4: Simplify right side
    711,808x = 2,453,038,823,524
  5. Step 5: Solve for x
    x = 2,453,038,823,524/711,808
  6. Step 6: Final answer
    x = 3,446,208.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.