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Finding the Third Proportional to 1,642,458 and 3,511,902

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Solution

The third proportional to 1,642,458 and 3,511,902 is: 7,509,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,458 : 3,511,902 = 3,511,902 : x
  2. Step 2: Convert to fraction form
    1,642,458/3,511,902 = 3,511,902/x
  3. Step 3: Cross multiply
    1,642,458x = 3,511,902 × 3,511,902
  4. Step 4: Simplify right side
    1,642,458x = 12,333,455,657,604
  5. Step 5: Solve for x
    x = 12,333,455,657,604/1,642,458
  6. Step 6: Final answer
    x = 7,509,145.23

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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.