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Finding the Third Proportional to 2,141,808 and 4,461,184

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Solution

The third proportional to 2,141,808 and 4,461,184 is: 9,292,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,808 : 4,461,184 = 4,461,184 : x
  2. Step 2: Convert to fraction form
    2,141,808/4,461,184 = 4,461,184/x
  3. Step 3: Cross multiply
    2,141,808x = 4,461,184 × 4,461,184
  4. Step 4: Simplify right side
    2,141,808x = 19,902,162,681,856
  5. Step 5: Solve for x
    x = 19,902,162,681,856/2,141,808
  6. Step 6: Final answer
    x = 9,292,225.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.