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Finding the Third Proportional to 1,013,920 and 2,214,814

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Solution

The third proportional to 1,013,920 and 2,214,814 is: 4,838,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,920 : 2,214,814 = 2,214,814 : x
  2. Step 2: Convert to fraction form
    1,013,920/2,214,814 = 2,214,814/x
  3. Step 3: Cross multiply
    1,013,920x = 2,214,814 × 2,214,814
  4. Step 4: Simplify right side
    1,013,920x = 4,905,401,054,596
  5. Step 5: Solve for x
    x = 4,905,401,054,596/1,013,920
  6. Step 6: Final answer
    x = 4,838,055.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.