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Finding the Third Proportional to 863,062 and 1,294,594

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Solution

The third proportional to 863,062 and 1,294,594 is: 1,941,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,062 : 1,294,594 = 1,294,594 : x
  2. Step 2: Convert to fraction form
    863,062/1,294,594 = 1,294,594/x
  3. Step 3: Cross multiply
    863,062x = 1,294,594 × 1,294,594
  4. Step 4: Simplify right side
    863,062x = 1,675,973,624,836
  5. Step 5: Solve for x
    x = 1,675,973,624,836/863,062
  6. Step 6: Final answer
    x = 1,941,892.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.