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Finding the Third Proportional to 1,196,511 and 2,602,974

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Solution

The third proportional to 1,196,511 and 2,602,974 is: 5,662,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,511 : 2,602,974 = 2,602,974 : x
  2. Step 2: Convert to fraction form
    1,196,511/2,602,974 = 2,602,974/x
  3. Step 3: Cross multiply
    1,196,511x = 2,602,974 × 2,602,974
  4. Step 4: Simplify right side
    1,196,511x = 6,775,473,644,676
  5. Step 5: Solve for x
    x = 6,775,473,644,676/1,196,511
  6. Step 6: Final answer
    x = 5,662,692.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.