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Finding the Third Proportional to 1,681,664 and 2,611,062

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Solution

The third proportional to 1,681,664 and 2,611,062 is: 4,054,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,664 : 2,611,062 = 2,611,062 : x
  2. Step 2: Convert to fraction form
    1,681,664/2,611,062 = 2,611,062/x
  3. Step 3: Cross multiply
    1,681,664x = 2,611,062 × 2,611,062
  4. Step 4: Simplify right side
    1,681,664x = 6,817,644,767,844
  5. Step 5: Solve for x
    x = 6,817,644,767,844/1,681,664
  6. Step 6: Final answer
    x = 4,054,106.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.