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Finding the Third Proportional to 664,083 and 1,022,085

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Solution

The third proportional to 664,083 and 1,022,085 is: 1,573,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,083 : 1,022,085 = 1,022,085 : x
  2. Step 2: Convert to fraction form
    664,083/1,022,085 = 1,022,085/x
  3. Step 3: Cross multiply
    664,083x = 1,022,085 × 1,022,085
  4. Step 4: Simplify right side
    664,083x = 1,044,657,747,225
  5. Step 5: Solve for x
    x = 1,044,657,747,225/664,083
  6. Step 6: Final answer
    x = 1,573,083.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.