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Finding the Third Proportional to 764,030 and 1,566,292

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Solution

The third proportional to 764,030 and 1,566,292 is: 3,210,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,030 : 1,566,292 = 1,566,292 : x
  2. Step 2: Convert to fraction form
    764,030/1,566,292 = 1,566,292/x
  3. Step 3: Cross multiply
    764,030x = 1,566,292 × 1,566,292
  4. Step 4: Simplify right side
    764,030x = 2,453,270,629,264
  5. Step 5: Solve for x
    x = 2,453,270,629,264/764,030
  6. Step 6: Final answer
    x = 3,210,961.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.