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Finding the Third Proportional to 913,795.50 and 1,980,133.50

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Solution

The third proportional to 913,795.50 and 1,980,133.50 is: 4,290,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,795.50 : 1,980,133.50 = 1,980,133.50 : x
  2. Step 2: Convert to fraction form
    913,795.50/1,980,133.50 = 1,980,133.50/x
  3. Step 3: Cross multiply
    913,795.50x = 1,980,133.50 × 1,980,133.50
  4. Step 4: Simplify right side
    913,795.50x = 3,920,928,677,822.25
  5. Step 5: Solve for x
    x = 3,920,928,677,822.25/913,795.50
  6. Step 6: Final answer
    x = 4,290,816.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.