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Finding the Third Proportional to 571,914 and 1,129,473

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Solution

The third proportional to 571,914 and 1,129,473 is: 2,230,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,914 : 1,129,473 = 1,129,473 : x
  2. Step 2: Convert to fraction form
    571,914/1,129,473 = 1,129,473/x
  3. Step 3: Cross multiply
    571,914x = 1,129,473 × 1,129,473
  4. Step 4: Simplify right side
    571,914x = 1,275,709,257,729
  5. Step 5: Solve for x
    x = 1,275,709,257,729/571,914
  6. Step 6: Final answer
    x = 2,230,596.31

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.