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Finding the Third Proportional to 922,583.25 and 1,996,798.50

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Solution

The third proportional to 922,583.25 and 1,996,798.50 is: 4,321,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,583.25 : 1,996,798.50 = 1,996,798.50 : x
  2. Step 2: Convert to fraction form
    922,583.25/1,996,798.50 = 1,996,798.50/x
  3. Step 3: Cross multiply
    922,583.25x = 1,996,798.50 × 1,996,798.50
  4. Step 4: Simplify right side
    922,583.25x = 3,987,204,249,602.25
  5. Step 5: Solve for x
    x = 3,987,204,249,602.25/922,583.25
  6. Step 6: Final answer
    x = 4,321,782.61

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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.