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Finding the Third Proportional to 691,024.50 and 1,066,056.75

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Solution

The third proportional to 691,024.50 and 1,066,056.75 is: 1,644,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,024.50 : 1,066,056.75 = 1,066,056.75 : x
  2. Step 2: Convert to fraction form
    691,024.50/1,066,056.75 = 1,066,056.75/x
  3. Step 3: Cross multiply
    691,024.50x = 1,066,056.75 × 1,066,056.75
  4. Step 4: Simplify right side
    691,024.50x = 1,136,476,994,220.56
  5. Step 5: Solve for x
    x = 1,136,476,994,220.56/691,024.50
  6. Step 6: Final answer
    x = 1,644,626.20

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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.