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Finding the Third Proportional to 1,052,314.50 and 1,640,073

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Solution

The third proportional to 1,052,314.50 and 1,640,073 is: 2,556,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,314.50 : 1,640,073 = 1,640,073 : x
  2. Step 2: Convert to fraction form
    1,052,314.50/1,640,073 = 1,640,073/x
  3. Step 3: Cross multiply
    1,052,314.50x = 1,640,073 × 1,640,073
  4. Step 4: Simplify right side
    1,052,314.50x = 2,689,839,445,329
  5. Step 5: Solve for x
    x = 2,689,839,445,329/1,052,314.50
  6. Step 6: Final answer
    x = 2,556,117.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.