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Finding the Third Proportional to 764,536 and 1,214,602

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Solution

The third proportional to 764,536 and 1,214,602 is: 1,929,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,536 : 1,214,602 = 1,214,602 : x
  2. Step 2: Convert to fraction form
    764,536/1,214,602 = 1,214,602/x
  3. Step 3: Cross multiply
    764,536x = 1,214,602 × 1,214,602
  4. Step 4: Simplify right side
    764,536x = 1,475,258,018,404
  5. Step 5: Solve for x
    x = 1,475,258,018,404/764,536
  6. Step 6: Final answer
    x = 1,929,612.23

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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.