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Finding the Third Proportional to 1,371,135 and 2,971,074

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Solution

The third proportional to 1,371,135 and 2,971,074 is: 6,437,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371,135 : 2,971,074 = 2,971,074 : x
  2. Step 2: Convert to fraction form
    1,371,135/2,971,074 = 2,971,074/x
  3. Step 3: Cross multiply
    1,371,135x = 2,971,074 × 2,971,074
  4. Step 4: Simplify right side
    1,371,135x = 8,827,280,713,476
  5. Step 5: Solve for x
    x = 8,827,280,713,476/1,371,135
  6. Step 6: Final answer
    x = 6,437,936.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.