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Finding the Third Proportional to 664,952 and 1,425,184

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Solution

The third proportional to 664,952 and 1,425,184 is: 3,054,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,952 : 1,425,184 = 1,425,184 : x
  2. Step 2: Convert to fraction form
    664,952/1,425,184 = 1,425,184/x
  3. Step 3: Cross multiply
    664,952x = 1,425,184 × 1,425,184
  4. Step 4: Simplify right side
    664,952x = 2,031,149,433,856
  5. Step 5: Solve for x
    x = 2,031,149,433,856/664,952
  6. Step 6: Final answer
    x = 3,054,580.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.