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Finding the Third Proportional to 770,531 and 1,022,407

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Solution

The third proportional to 770,531 and 1,022,407 is: 1,356,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,531 : 1,022,407 = 1,022,407 : x
  2. Step 2: Convert to fraction form
    770,531/1,022,407 = 1,022,407/x
  3. Step 3: Cross multiply
    770,531x = 1,022,407 × 1,022,407
  4. Step 4: Simplify right side
    770,531x = 1,045,316,073,649
  5. Step 5: Solve for x
    x = 1,045,316,073,649/770,531
  6. Step 6: Final answer
    x = 1,356,617.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.