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Finding the Third Proportional to 569,835 and 825,471

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Solution

The third proportional to 569,835 and 825,471 is: 1,195,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,835 : 825,471 = 825,471 : x
  2. Step 2: Convert to fraction form
    569,835/825,471 = 825,471/x
  3. Step 3: Cross multiply
    569,835x = 825,471 × 825,471
  4. Step 4: Simplify right side
    569,835x = 681,402,371,841
  5. Step 5: Solve for x
    x = 681,402,371,841/569,835
  6. Step 6: Final answer
    x = 1,195,788.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.