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Finding the Third Proportional to 3,086,208.84 and 4,584,605.06

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Solution

The third proportional to 3,086,208.84 and 4,584,605.06 is: 6,810,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,208.84 : 4,584,605.06 = 4,584,605.06 : x
  2. Step 2: Convert to fraction form
    3,086,208.84/4,584,605.06 = 4,584,605.06/x
  3. Step 3: Cross multiply
    3,086,208.84x = 4,584,605.06 × 4,584,605.06
  4. Step 4: Simplify right side
    3,086,208.84x = 21,018,603,579,100.63
  5. Step 5: Solve for x
    x = 21,018,603,579,100.63/3,086,208.84
  6. Step 6: Final answer
    x = 6,810,492.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.