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Finding the Third Proportional to 2,111,701.50 and 4,643,293.50

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Solution

The third proportional to 2,111,701.50 and 4,643,293.50 is: 10,209,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,701.50 : 4,643,293.50 = 4,643,293.50 : x
  2. Step 2: Convert to fraction form
    2,111,701.50/4,643,293.50 = 4,643,293.50/x
  3. Step 3: Cross multiply
    2,111,701.50x = 4,643,293.50 × 4,643,293.50
  4. Step 4: Simplify right side
    2,111,701.50x = 21,560,174,527,142.25
  5. Step 5: Solve for x
    x = 21,560,174,527,142.25/2,111,701.50
  6. Step 6: Final answer
    x = 10,209,858.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.