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Finding the Third Proportional to 1,108,208 and 1,684,659

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Solution

The third proportional to 1,108,208 and 1,684,659 is: 2,560,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108,208 : 1,684,659 = 1,684,659 : x
  2. Step 2: Convert to fraction form
    1,108,208/1,684,659 = 1,684,659/x
  3. Step 3: Cross multiply
    1,108,208x = 1,684,659 × 1,684,659
  4. Step 4: Simplify right side
    1,108,208x = 2,838,075,946,281
  5. Step 5: Solve for x
    x = 2,838,075,946,281/1,108,208
  6. Step 6: Final answer
    x = 2,560,959.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.