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Finding the Third Proportional to 2,953,714 and 6,454,124

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Solution

The third proportional to 2,953,714 and 6,454,124 is: 14,102,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953,714 : 6,454,124 = 6,454,124 : x
  2. Step 2: Convert to fraction form
    2,953,714/6,454,124 = 6,454,124/x
  3. Step 3: Cross multiply
    2,953,714x = 6,454,124 × 6,454,124
  4. Step 4: Simplify right side
    2,953,714x = 41,655,716,607,376
  5. Step 5: Solve for x
    x = 41,655,716,607,376/2,953,714
  6. Step 6: Final answer
    x = 14,102,826.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.