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Finding the Third Proportional to 658,566 and 993,043

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Solution

The third proportional to 658,566 and 993,043 is: 1,497,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,566 : 993,043 = 993,043 : x
  2. Step 2: Convert to fraction form
    658,566/993,043 = 993,043/x
  3. Step 3: Cross multiply
    658,566x = 993,043 × 993,043
  4. Step 4: Simplify right side
    658,566x = 986,134,399,849
  5. Step 5: Solve for x
    x = 986,134,399,849/658,566
  6. Step 6: Final answer
    x = 1,497,396.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.