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Finding the Third Proportional to 983,530.50 and 1,484,331.75

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Solution

The third proportional to 983,530.50 and 1,484,331.75 is: 2,240,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,530.50 : 1,484,331.75 = 1,484,331.75 : x
  2. Step 2: Convert to fraction form
    983,530.50/1,484,331.75 = 1,484,331.75/x
  3. Step 3: Cross multiply
    983,530.50x = 1,484,331.75 × 1,484,331.75
  4. Step 4: Simplify right side
    983,530.50x = 2,203,240,744,058.06
  5. Step 5: Solve for x
    x = 2,203,240,744,058.06/983,530.50
  6. Step 6: Final answer
    x = 2,240,134.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.