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Finding the Third Proportional to 1,891,341 and 2,830,329

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Solution

The third proportional to 1,891,341 and 2,830,329 is: 4,235,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891,341 : 2,830,329 = 2,830,329 : x
  2. Step 2: Convert to fraction form
    1,891,341/2,830,329 = 2,830,329/x
  3. Step 3: Cross multiply
    1,891,341x = 2,830,329 × 2,830,329
  4. Step 4: Simplify right side
    1,891,341x = 8,010,762,248,241
  5. Step 5: Solve for x
    x = 8,010,762,248,241/1,891,341
  6. Step 6: Final answer
    x = 4,235,493.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.