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Finding the Third Proportional to 662,762.75 and 1,051,142.88

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Solution

The third proportional to 662,762.75 and 1,051,142.88 is: 1,667,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,762.75 : 1,051,142.88 = 1,051,142.88 : x
  2. Step 2: Convert to fraction form
    662,762.75/1,051,142.88 = 1,051,142.88/x
  3. Step 3: Cross multiply
    662,762.75x = 1,051,142.88 × 1,051,142.88
  4. Step 4: Simplify right side
    662,762.75x = 1,104,901,343,663.27
  5. Step 5: Solve for x
    x = 1,104,901,343,663.27/662,762.75
  6. Step 6: Final answer
    x = 1,667,114.43

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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.