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Finding the Third Proportional to 783,654.50 and 1,600,518

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Solution

The third proportional to 783,654.50 and 1,600,518 is: 3,268,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,654.50 : 1,600,518 = 1,600,518 : x
  2. Step 2: Convert to fraction form
    783,654.50/1,600,518 = 1,600,518/x
  3. Step 3: Cross multiply
    783,654.50x = 1,600,518 × 1,600,518
  4. Step 4: Simplify right side
    783,654.50x = 2,561,657,868,324
  5. Step 5: Solve for x
    x = 2,561,657,868,324/783,654.50
  6. Step 6: Final answer
    x = 3,268,861.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.