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Finding the Third Proportional to 1,964,155.50 and 4,237,947

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Solution

The third proportional to 1,964,155.50 and 4,237,947 is: 9,143,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,155.50 : 4,237,947 = 4,237,947 : x
  2. Step 2: Convert to fraction form
    1,964,155.50/4,237,947 = 4,237,947/x
  3. Step 3: Cross multiply
    1,964,155.50x = 4,237,947 × 4,237,947
  4. Step 4: Simplify right side
    1,964,155.50x = 17,960,194,774,809
  5. Step 5: Solve for x
    x = 17,960,194,774,809/1,964,155.50
  6. Step 6: Final answer
    x = 9,143,978.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.