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Finding the Third Proportional to 917,298.75 and 1,945,587.50

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Solution

The third proportional to 917,298.75 and 1,945,587.50 is: 4,126,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,298.75 : 1,945,587.50 = 1,945,587.50 : x
  2. Step 2: Convert to fraction form
    917,298.75/1,945,587.50 = 1,945,587.50/x
  3. Step 3: Cross multiply
    917,298.75x = 1,945,587.50 × 1,945,587.50
  4. Step 4: Simplify right side
    917,298.75x = 3,785,310,720,156.25
  5. Step 5: Solve for x
    x = 3,785,310,720,156.25/917,298.75
  6. Step 6: Final answer
    x = 4,126,584.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.