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Finding the Third Proportional to 922,575.75 and 1,996,783.50

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Solution

The third proportional to 922,575.75 and 1,996,783.50 is: 4,321,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,575.75 : 1,996,783.50 = 1,996,783.50 : x
  2. Step 2: Convert to fraction form
    922,575.75/1,996,783.50 = 1,996,783.50/x
  3. Step 3: Cross multiply
    922,575.75x = 1,996,783.50 × 1,996,783.50
  4. Step 4: Simplify right side
    922,575.75x = 3,987,144,345,872.25
  5. Step 5: Solve for x
    x = 3,987,144,345,872.25/922,575.75
  6. Step 6: Final answer
    x = 4,321,752.82

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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.