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Finding the Third Proportional to 1,221,830 and 2,684,047.50

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Solution

The third proportional to 1,221,830 and 2,684,047.50 is: 5,896,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,830 : 2,684,047.50 = 2,684,047.50 : x
  2. Step 2: Convert to fraction form
    1,221,830/2,684,047.50 = 2,684,047.50/x
  3. Step 3: Cross multiply
    1,221,830x = 2,684,047.50 × 2,684,047.50
  4. Step 4: Simplify right side
    1,221,830x = 7,204,110,982,256.25
  5. Step 5: Solve for x
    x = 7,204,110,982,256.25/1,221,830
  6. Step 6: Final answer
    x = 5,896,164.75

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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.