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Finding the Third Proportional to 667,683 and 1,035,423

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Solution

The third proportional to 667,683 and 1,035,423 is: 1,605,703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,683 : 1,035,423 = 1,035,423 : x
  2. Step 2: Convert to fraction form
    667,683/1,035,423 = 1,035,423/x
  3. Step 3: Cross multiply
    667,683x = 1,035,423 × 1,035,423
  4. Step 4: Simplify right side
    667,683x = 1,072,100,788,929
  5. Step 5: Solve for x
    x = 1,072,100,788,929/667,683
  6. Step 6: Final answer
    x = 1,605,703.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.