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Finding the Third Proportional to 3,081,368.25 and 4,790,254.50

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Solution

The third proportional to 3,081,368.25 and 4,790,254.50 is: 7,446,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081,368.25 : 4,790,254.50 = 4,790,254.50 : x
  2. Step 2: Convert to fraction form
    3,081,368.25/4,790,254.50 = 4,790,254.50/x
  3. Step 3: Cross multiply
    3,081,368.25x = 4,790,254.50 × 4,790,254.50
  4. Step 4: Simplify right side
    3,081,368.25x = 22,946,538,174,770.25
  5. Step 5: Solve for x
    x = 22,946,538,174,770.25/3,081,368.25
  6. Step 6: Final answer
    x = 7,446,866.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.