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Finding the Third Proportional to 1,689,364 and 3,642,788

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Solution

The third proportional to 1,689,364 and 3,642,788 is: 7,854,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,364 : 3,642,788 = 3,642,788 : x
  2. Step 2: Convert to fraction form
    1,689,364/3,642,788 = 3,642,788/x
  3. Step 3: Cross multiply
    1,689,364x = 3,642,788 × 3,642,788
  4. Step 4: Simplify right side
    1,689,364x = 13,269,904,412,944
  5. Step 5: Solve for x
    x = 13,269,904,412,944/1,689,364
  6. Step 6: Final answer
    x = 7,854,970.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.