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Finding the Third Proportional to 3,092,433.61 and 4,718,635.38

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Solution

The third proportional to 3,092,433.61 and 4,718,635.38 is: 7,199,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092,433.61 : 4,718,635.38 = 4,718,635.38 : x
  2. Step 2: Convert to fraction form
    3,092,433.61/4,718,635.38 = 4,718,635.38/x
  3. Step 3: Cross multiply
    3,092,433.61x = 4,718,635.38 × 4,718,635.38
  4. Step 4: Simplify right side
    3,092,433.61x = 22,265,519,875,930.07
  5. Step 5: Solve for x
    x = 22,265,519,875,930.07/3,092,433.61
  6. Step 6: Final answer
    x = 7,199,999.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.