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Finding the Third Proportional to 1,454,868 and 3,142,044

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Solution

The third proportional to 1,454,868 and 3,142,044 is: 6,785,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,868 : 3,142,044 = 3,142,044 : x
  2. Step 2: Convert to fraction form
    1,454,868/3,142,044 = 3,142,044/x
  3. Step 3: Cross multiply
    1,454,868x = 3,142,044 × 3,142,044
  4. Step 4: Simplify right side
    1,454,868x = 9,872,440,497,936
  5. Step 5: Solve for x
    x = 9,872,440,497,936/1,454,868
  6. Step 6: Final answer
    x = 6,785,798.09

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Why These Related Problems?

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