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Finding the Third Proportional to 3,163,405.50 and 4,789,471.50

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Solution

The third proportional to 3,163,405.50 and 4,789,471.50 is: 7,251,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,405.50 : 4,789,471.50 = 4,789,471.50 : x
  2. Step 2: Convert to fraction form
    3,163,405.50/4,789,471.50 = 4,789,471.50/x
  3. Step 3: Cross multiply
    3,163,405.50x = 4,789,471.50 × 4,789,471.50
  4. Step 4: Simplify right side
    3,163,405.50x = 22,939,037,249,312.25
  5. Step 5: Solve for x
    x = 22,939,037,249,312.25/3,163,405.50
  6. Step 6: Final answer
    x = 7,251,374.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.