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Finding the Third Proportional to 1,397,846 and 2,209,395

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Solution

The third proportional to 1,397,846 and 2,209,395 is: 3,492,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,846 : 2,209,395 = 2,209,395 : x
  2. Step 2: Convert to fraction form
    1,397,846/2,209,395 = 2,209,395/x
  3. Step 3: Cross multiply
    1,397,846x = 2,209,395 × 2,209,395
  4. Step 4: Simplify right side
    1,397,846x = 4,881,426,266,025
  5. Step 5: Solve for x
    x = 4,881,426,266,025/1,397,846
  6. Step 6: Final answer
    x = 3,492,105.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.