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Finding the Third Proportional to 2,906,359.88 and 4,785,625.13

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Solution

The third proportional to 2,906,359.88 and 4,785,625.13 is: 7,880,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,359.88 : 4,785,625.13 = 4,785,625.13 : x
  2. Step 2: Convert to fraction form
    2,906,359.88/4,785,625.13 = 4,785,625.13/x
  3. Step 3: Cross multiply
    2,906,359.88x = 4,785,625.13 × 4,785,625.13
  4. Step 4: Simplify right side
    2,906,359.88x = 22,902,207,837,031.27
  5. Step 5: Solve for x
    x = 22,902,207,837,031.27/2,906,359.88
  6. Step 6: Final answer
    x = 7,880,031.66

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.