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Finding the Third Proportional to 1,302,972 and 1,993,209

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Solution

The third proportional to 1,302,972 and 1,993,209 is: 3,049,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,972 : 1,993,209 = 1,993,209 : x
  2. Step 2: Convert to fraction form
    1,302,972/1,993,209 = 1,993,209/x
  3. Step 3: Cross multiply
    1,302,972x = 1,993,209 × 1,993,209
  4. Step 4: Simplify right side
    1,302,972x = 3,972,882,117,681
  5. Step 5: Solve for x
    x = 3,972,882,117,681/1,302,972
  6. Step 6: Final answer
    x = 3,049,092.47

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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.