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Finding the Third Proportional to 985,257 and 1,484,932

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Solution

The third proportional to 985,257 and 1,484,932 is: 2,238,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,257 : 1,484,932 = 1,484,932 : x
  2. Step 2: Convert to fraction form
    985,257/1,484,932 = 1,484,932/x
  3. Step 3: Cross multiply
    985,257x = 1,484,932 × 1,484,932
  4. Step 4: Simplify right side
    985,257x = 2,205,023,044,624
  5. Step 5: Solve for x
    x = 2,205,023,044,624/985,257
  6. Step 6: Final answer
    x = 2,238,018.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.