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Finding the Third Proportional to 1,228,957.31 and 2,683,038.94

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Solution

The third proportional to 1,228,957.31 and 2,683,038.94 is: 5,857,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,957.31 : 2,683,038.94 = 2,683,038.94 : x
  2. Step 2: Convert to fraction form
    1,228,957.31/2,683,038.94 = 2,683,038.94/x
  3. Step 3: Cross multiply
    1,228,957.31x = 2,683,038.94 × 2,683,038.94
  4. Step 4: Simplify right side
    1,228,957.31x = 7,198,697,940,141.13
  5. Step 5: Solve for x
    x = 7,198,697,940,141.13/1,228,957.31
  6. Step 6: Final answer
    x = 5,857,565.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.