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Finding the Third Proportional to 3,845,596 and 6,032,382

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Solution

The third proportional to 3,845,596 and 6,032,382 is: 9,462,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845,596 : 6,032,382 = 6,032,382 : x
  2. Step 2: Convert to fraction form
    3,845,596/6,032,382 = 6,032,382/x
  3. Step 3: Cross multiply
    3,845,596x = 6,032,382 × 6,032,382
  4. Step 4: Simplify right side
    3,845,596x = 36,389,632,593,924
  5. Step 5: Solve for x
    x = 36,389,632,593,924/3,845,596
  6. Step 6: Final answer
    x = 9,462,676.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.