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Finding the Third Proportional to 675,810 and 944,822

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Solution

The third proportional to 675,810 and 944,822 is: 1,320,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,810 : 944,822 = 944,822 : x
  2. Step 2: Convert to fraction form
    675,810/944,822 = 944,822/x
  3. Step 3: Cross multiply
    675,810x = 944,822 × 944,822
  4. Step 4: Simplify right side
    675,810x = 892,688,611,684
  5. Step 5: Solve for x
    x = 892,688,611,684/675,810
  6. Step 6: Final answer
    x = 1,320,916.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.