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Finding the Third Proportional to 1,102,467 and 1,681,726

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Solution

The third proportional to 1,102,467 and 1,681,726 is: 2,565,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,467 : 1,681,726 = 1,681,726 : x
  2. Step 2: Convert to fraction form
    1,102,467/1,681,726 = 1,681,726/x
  3. Step 3: Cross multiply
    1,102,467x = 1,681,726 × 1,681,726
  4. Step 4: Simplify right side
    1,102,467x = 2,828,202,339,076
  5. Step 5: Solve for x
    x = 2,828,202,339,076/1,102,467
  6. Step 6: Final answer
    x = 2,565,339.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.