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Finding the Third Proportional to 919,433.50 and 1,427,264.50

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Solution

The third proportional to 919,433.50 and 1,427,264.50 is: 2,215,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,433.50 : 1,427,264.50 = 1,427,264.50 : x
  2. Step 2: Convert to fraction form
    919,433.50/1,427,264.50 = 1,427,264.50/x
  3. Step 3: Cross multiply
    919,433.50x = 1,427,264.50 × 1,427,264.50
  4. Step 4: Simplify right side
    919,433.50x = 2,037,083,952,960.25
  5. Step 5: Solve for x
    x = 2,037,083,952,960.25/919,433.50
  6. Step 6: Final answer
    x = 2,215,585.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.