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Finding the Third Proportional to 706,266 and 1,066,027.50

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Solution

The third proportional to 706,266 and 1,066,027.50 is: 1,609,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,266 : 1,066,027.50 = 1,066,027.50 : x
  2. Step 2: Convert to fraction form
    706,266/1,066,027.50 = 1,066,027.50/x
  3. Step 3: Cross multiply
    706,266x = 1,066,027.50 × 1,066,027.50
  4. Step 4: Simplify right side
    706,266x = 1,136,414,630,756.25
  5. Step 5: Solve for x
    x = 1,136,414,630,756.25/706,266
  6. Step 6: Final answer
    x = 1,609,046.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.