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Finding the Third Proportional to 846,291.75 and 1,237,007.25

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Solution

The third proportional to 846,291.75 and 1,237,007.25 is: 1,808,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,291.75 : 1,237,007.25 = 1,237,007.25 : x
  2. Step 2: Convert to fraction form
    846,291.75/1,237,007.25 = 1,237,007.25/x
  3. Step 3: Cross multiply
    846,291.75x = 1,237,007.25 × 1,237,007.25
  4. Step 4: Simplify right side
    846,291.75x = 1,530,186,936,552.56
  5. Step 5: Solve for x
    x = 1,530,186,936,552.56/846,291.75
  6. Step 6: Final answer
    x = 1,808,108.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.