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Finding the Third Proportional to 1,686,879 and 3,642,547

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Solution

The third proportional to 1,686,879 and 3,642,547 is: 7,865,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,879 : 3,642,547 = 3,642,547 : x
  2. Step 2: Convert to fraction form
    1,686,879/3,642,547 = 3,642,547/x
  3. Step 3: Cross multiply
    1,686,879x = 3,642,547 × 3,642,547
  4. Step 4: Simplify right side
    1,686,879x = 13,268,148,647,209
  5. Step 5: Solve for x
    x = 13,268,148,647,209/1,686,879
  6. Step 6: Final answer
    x = 7,865,501.11

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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.