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Finding the Third Proportional to 592,926 and 887,769

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Solution

The third proportional to 592,926 and 887,769 is: 1,329,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,926 : 887,769 = 887,769 : x
  2. Step 2: Convert to fraction form
    592,926/887,769 = 887,769/x
  3. Step 3: Cross multiply
    592,926x = 887,769 × 887,769
  4. Step 4: Simplify right side
    592,926x = 788,133,797,361
  5. Step 5: Solve for x
    x = 788,133,797,361/592,926
  6. Step 6: Final answer
    x = 1,329,227.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.