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Finding the Third Proportional to 665,952 and 1,427,184

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Solution

The third proportional to 665,952 and 1,427,184 is: 3,058,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,952 : 1,427,184 = 1,427,184 : x
  2. Step 2: Convert to fraction form
    665,952/1,427,184 = 1,427,184/x
  3. Step 3: Cross multiply
    665,952x = 1,427,184 × 1,427,184
  4. Step 4: Simplify right side
    665,952x = 2,036,854,169,856
  5. Step 5: Solve for x
    x = 2,036,854,169,856/665,952
  6. Step 6: Final answer
    x = 3,058,560.03

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Why These Related Problems?

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