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Finding the Third Proportional to 4,123,062 and 6,291,209.25

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Solution

The third proportional to 4,123,062 and 6,291,209.25 is: 9,599,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123,062 : 6,291,209.25 = 6,291,209.25 : x
  2. Step 2: Convert to fraction form
    4,123,062/6,291,209.25 = 6,291,209.25/x
  3. Step 3: Cross multiply
    4,123,062x = 6,291,209.25 × 6,291,209.25
  4. Step 4: Simplify right side
    4,123,062x = 39,579,313,827,285.56
  5. Step 5: Solve for x
    x = 39,579,313,827,285.56/4,123,062
  6. Step 6: Final answer
    x = 9,599,495.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.