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Finding the Third Proportional to 614,282 and 930,018

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Solution

The third proportional to 614,282 and 930,018 is: 1,408,039.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,282 : 930,018 = 930,018 : x
  2. Step 2: Convert to fraction form
    614,282/930,018 = 930,018/x
  3. Step 3: Cross multiply
    614,282x = 930,018 × 930,018
  4. Step 4: Simplify right side
    614,282x = 864,933,480,324
  5. Step 5: Solve for x
    x = 864,933,480,324/614,282
  6. Step 6: Final answer
    x = 1,408,039.76

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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.