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Finding the Third Proportional to 663,426 and 994,095

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Solution

The third proportional to 663,426 and 994,095 is: 1,489,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,426 : 994,095 = 994,095 : x
  2. Step 2: Convert to fraction form
    663,426/994,095 = 994,095/x
  3. Step 3: Cross multiply
    663,426x = 994,095 × 994,095
  4. Step 4: Simplify right side
    663,426x = 988,224,869,025
  5. Step 5: Solve for x
    x = 988,224,869,025/663,426
  6. Step 6: Final answer
    x = 1,489,578.14

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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.