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Finding the Third Proportional to 932,145.75 and 2,042,145

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Solution

The third proportional to 932,145.75 and 2,042,145 is: 4,473,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,145.75 : 2,042,145 = 2,042,145 : x
  2. Step 2: Convert to fraction form
    932,145.75/2,042,145 = 2,042,145/x
  3. Step 3: Cross multiply
    932,145.75x = 2,042,145 × 2,042,145
  4. Step 4: Simplify right side
    932,145.75x = 4,170,356,201,025
  5. Step 5: Solve for x
    x = 4,170,356,201,025/932,145.75
  6. Step 6: Final answer
    x = 4,473,931.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.