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Finding the Third Proportional to 932,153.50 and 2,042,159

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Solution

The third proportional to 932,153.50 and 2,042,159 is: 4,473,955.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,153.50 : 2,042,159 = 2,042,159 : x
  2. Step 2: Convert to fraction form
    932,153.50/2,042,159 = 2,042,159/x
  3. Step 3: Cross multiply
    932,153.50x = 2,042,159 × 2,042,159
  4. Step 4: Simplify right side
    932,153.50x = 4,170,413,381,281
  5. Step 5: Solve for x
    x = 4,170,413,381,281/932,153.50
  6. Step 6: Final answer
    x = 4,473,955.61

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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.