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Finding the Third Proportional to 834,431.63 and 1,133,503.88

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Solution

The third proportional to 834,431.63 and 1,133,503.88 is: 1,539,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,431.63 : 1,133,503.88 = 1,133,503.88 : x
  2. Step 2: Convert to fraction form
    834,431.63/1,133,503.88 = 1,133,503.88/x
  3. Step 3: Cross multiply
    834,431.63x = 1,133,503.88 × 1,133,503.88
  4. Step 4: Simplify right side
    834,431.63x = 1,284,831,034,640.02
  5. Step 5: Solve for x
    x = 1,284,831,034,640.02/834,431.63
  6. Step 6: Final answer
    x = 1,539,767.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.