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Finding the Third Proportional to 1,427,320 and 3,077,454

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Solution

The third proportional to 1,427,320 and 3,077,454 is: 6,635,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,320 : 3,077,454 = 3,077,454 : x
  2. Step 2: Convert to fraction form
    1,427,320/3,077,454 = 3,077,454/x
  3. Step 3: Cross multiply
    1,427,320x = 3,077,454 × 3,077,454
  4. Step 4: Simplify right side
    1,427,320x = 9,470,723,122,116
  5. Step 5: Solve for x
    x = 9,470,723,122,116/1,427,320
  6. Step 6: Final answer
    x = 6,635,318.72

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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.