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Finding the Third Proportional to 1,642,464 and 3,511,914

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Solution

The third proportional to 1,642,464 and 3,511,914 is: 7,509,169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,464 : 3,511,914 = 3,511,914 : x
  2. Step 2: Convert to fraction form
    1,642,464/3,511,914 = 3,511,914/x
  3. Step 3: Cross multiply
    1,642,464x = 3,511,914 × 3,511,914
  4. Step 4: Simplify right side
    1,642,464x = 12,333,539,943,396
  5. Step 5: Solve for x
    x = 12,333,539,943,396/1,642,464
  6. Step 6: Final answer
    x = 7,509,169.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.