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Finding the Third Proportional to 1,949,497.50 and 4,347,244.50

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Solution

The third proportional to 1,949,497.50 and 4,347,244.50 is: 9,694,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,497.50 : 4,347,244.50 = 4,347,244.50 : x
  2. Step 2: Convert to fraction form
    1,949,497.50/4,347,244.50 = 4,347,244.50/x
  3. Step 3: Cross multiply
    1,949,497.50x = 4,347,244.50 × 4,347,244.50
  4. Step 4: Simplify right side
    1,949,497.50x = 18,898,534,742,780.25
  5. Step 5: Solve for x
    x = 18,898,534,742,780.25/1,949,497.50
  6. Step 6: Final answer
    x = 9,694,054.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.