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Finding the Third Proportional to 1,857,648.94 and 3,989,953.69

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Solution

The third proportional to 1,857,648.94 and 3,989,953.69 is: 8,569,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,648.94 : 3,989,953.69 = 3,989,953.69 : x
  2. Step 2: Convert to fraction form
    1,857,648.94/3,989,953.69 = 3,989,953.69/x
  3. Step 3: Cross multiply
    1,857,648.94x = 3,989,953.69 × 3,989,953.69
  4. Step 4: Simplify right side
    1,857,648.94x = 15,919,730,428,394.85
  5. Step 5: Solve for x
    x = 15,919,730,428,394.85/1,857,648.94
  6. Step 6: Final answer
    x = 8,569,827.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.