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Finding the Third Proportional to 764,551.50 and 1,646,262

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Solution

The third proportional to 764,551.50 and 1,646,262 is: 3,544,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,551.50 : 1,646,262 = 1,646,262 : x
  2. Step 2: Convert to fraction form
    764,551.50/1,646,262 = 1,646,262/x
  3. Step 3: Cross multiply
    764,551.50x = 1,646,262 × 1,646,262
  4. Step 4: Simplify right side
    764,551.50x = 2,710,178,572,644
  5. Step 5: Solve for x
    x = 2,710,178,572,644/764,551.50
  6. Step 6: Final answer
    x = 3,544,795.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.