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Finding the Third Proportional to 3,435,259.50 and 4,665,460.50

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Solution

The third proportional to 3,435,259.50 and 4,665,460.50 is: 6,336,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435,259.50 : 4,665,460.50 = 4,665,460.50 : x
  2. Step 2: Convert to fraction form
    3,435,259.50/4,665,460.50 = 4,665,460.50/x
  3. Step 3: Cross multiply
    3,435,259.50x = 4,665,460.50 × 4,665,460.50
  4. Step 4: Simplify right side
    3,435,259.50x = 21,766,521,677,060.25
  5. Step 5: Solve for x
    x = 21,766,521,677,060.25/3,435,259.50
  6. Step 6: Final answer
    x = 6,336,208.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.