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Finding the Third Proportional to 711,806 and 1,566,214

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Solution

The third proportional to 711,806 and 1,566,214 is: 3,446,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,806 : 1,566,214 = 1,566,214 : x
  2. Step 2: Convert to fraction form
    711,806/1,566,214 = 1,566,214/x
  3. Step 3: Cross multiply
    711,806x = 1,566,214 × 1,566,214
  4. Step 4: Simplify right side
    711,806x = 2,453,026,293,796
  5. Step 5: Solve for x
    x = 2,453,026,293,796/711,806
  6. Step 6: Final answer
    x = 3,446,200.64

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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.