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Finding the Third Proportional to 916,381 and 2,013,052

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Solution

The third proportional to 916,381 and 2,013,052 is: 4,422,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,381 : 2,013,052 = 2,013,052 : x
  2. Step 2: Convert to fraction form
    916,381/2,013,052 = 2,013,052/x
  3. Step 3: Cross multiply
    916,381x = 2,013,052 × 2,013,052
  4. Step 4: Simplify right side
    916,381x = 4,052,378,354,704
  5. Step 5: Solve for x
    x = 4,052,378,354,704/916,381
  6. Step 6: Final answer
    x = 4,422,154.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.