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Finding the Third Proportional to 662,762.25 and 1,051,142.06

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Solution

The third proportional to 662,762.25 and 1,051,142.06 is: 1,667,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,762.25 : 1,051,142.06 = 1,051,142.06 : x
  2. Step 2: Convert to fraction form
    662,762.25/1,051,142.06 = 1,051,142.06/x
  3. Step 3: Cross multiply
    662,762.25x = 1,051,142.06 × 1,051,142.06
  4. Step 4: Simplify right side
    662,762.25x = 1,104,899,635,556.75
  5. Step 5: Solve for x
    x = 1,104,899,635,556.75/662,762.25
  6. Step 6: Final answer
    x = 1,667,113.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.