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Finding the Third Proportional to 3,028,285.50 and 4,654,684.50

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Solution

The third proportional to 3,028,285.50 and 4,654,684.50 is: 7,154,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028,285.50 : 4,654,684.50 = 4,654,684.50 : x
  2. Step 2: Convert to fraction form
    3,028,285.50/4,654,684.50 = 4,654,684.50/x
  3. Step 3: Cross multiply
    3,028,285.50x = 4,654,684.50 × 4,654,684.50
  4. Step 4: Simplify right side
    3,028,285.50x = 21,666,087,794,540.25
  5. Step 5: Solve for x
    x = 21,666,087,794,540.25/3,028,285.50
  6. Step 6: Final answer
    x = 7,154,572.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.