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Finding the Third Proportional to 2,953,716 and 6,454,128

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Solution

The third proportional to 2,953,716 and 6,454,128 is: 14,102,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953,716 : 6,454,128 = 6,454,128 : x
  2. Step 2: Convert to fraction form
    2,953,716/6,454,128 = 6,454,128/x
  3. Step 3: Cross multiply
    2,953,716x = 6,454,128 × 6,454,128
  4. Step 4: Simplify right side
    2,953,716x = 41,655,768,240,384
  5. Step 5: Solve for x
    x = 41,655,768,240,384/2,953,716
  6. Step 6: Final answer
    x = 14,102,834.61

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Why These Related Problems?

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