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Finding the Third Proportional to 1,519,930 and 2,371,911

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Solution

The third proportional to 1,519,930 and 2,371,911 is: 3,701,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519,930 : 2,371,911 = 2,371,911 : x
  2. Step 2: Convert to fraction form
    1,519,930/2,371,911 = 2,371,911/x
  3. Step 3: Cross multiply
    1,519,930x = 2,371,911 × 2,371,911
  4. Step 4: Simplify right side
    1,519,930x = 5,625,961,791,921
  5. Step 5: Solve for x
    x = 5,625,961,791,921/1,519,930
  6. Step 6: Final answer
    x = 3,701,461.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.