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Finding the Third Proportional to 764,534 and 1,214,598

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Solution

The third proportional to 764,534 and 1,214,598 is: 1,929,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,534 : 1,214,598 = 1,214,598 : x
  2. Step 2: Convert to fraction form
    764,534/1,214,598 = 1,214,598/x
  3. Step 3: Cross multiply
    764,534x = 1,214,598 × 1,214,598
  4. Step 4: Simplify right side
    764,534x = 1,475,248,301,604
  5. Step 5: Solve for x
    x = 1,475,248,301,604/764,534
  6. Step 6: Final answer
    x = 1,929,604.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.