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Finding the Third Proportional to 1,376,284 and 2,974,002

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Solution

The third proportional to 1,376,284 and 2,974,002 is: 6,426,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,284 : 2,974,002 = 2,974,002 : x
  2. Step 2: Convert to fraction form
    1,376,284/2,974,002 = 2,974,002/x
  3. Step 3: Cross multiply
    1,376,284x = 2,974,002 × 2,974,002
  4. Step 4: Simplify right side
    1,376,284x = 8,844,687,896,004
  5. Step 5: Solve for x
    x = 8,844,687,896,004/1,376,284
  6. Step 6: Final answer
    x = 6,426,499.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.