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Finding the Third Proportional to 669,711 and 1,035,670.50

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Solution

The third proportional to 669,711 and 1,035,670.50 is: 1,601,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,711 : 1,035,670.50 = 1,035,670.50 : x
  2. Step 2: Convert to fraction form
    669,711/1,035,670.50 = 1,035,670.50/x
  3. Step 3: Cross multiply
    669,711x = 1,035,670.50 × 1,035,670.50
  4. Step 4: Simplify right side
    669,711x = 1,072,613,384,570.25
  5. Step 5: Solve for x
    x = 1,072,613,384,570.25/669,711
  6. Step 6: Final answer
    x = 1,601,606.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.