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Finding the Third Proportional to 1,353,644,946 and 1,826,384,859

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Solution

The third proportional to 1,353,644,946 and 1,826,384,859 is: 2,464,221,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,644,946 : 1,826,384,859 = 1,826,384,859 : x
  2. Step 2: Convert to fraction form
    1,353,644,946/1,826,384,859 = 1,826,384,859/x
  3. Step 3: Cross multiply
    1,353,644,946x = 1,826,384,859 × 1,826,384,859
  4. Step 4: Simplify right side
    1,353,644,946x = 3,335,681,653,184,450,048
  5. Step 5: Solve for x
    x = 3,335,681,653,184,450,048/1,353,644,946
  6. Step 6: Final answer
    x = 2,464,221,997.83

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.