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Finding the Third Proportional to 1,435,401 and 2,345,557.50

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Solution

The third proportional to 1,435,401 and 2,345,557.50 is: 3,832,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,401 : 2,345,557.50 = 2,345,557.50 : x
  2. Step 2: Convert to fraction form
    1,435,401/2,345,557.50 = 2,345,557.50/x
  3. Step 3: Cross multiply
    1,435,401x = 2,345,557.50 × 2,345,557.50
  4. Step 4: Simplify right side
    1,435,401x = 5,501,639,985,806.25
  5. Step 5: Solve for x
    x = 5,501,639,985,806.25/1,435,401
  6. Step 6: Final answer
    x = 3,832,824.41

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.