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Finding the Third Proportional to 2,230,294.50 and 4,748,301

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Solution

The third proportional to 2,230,294.50 and 4,748,301 is: 10,109,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230,294.50 : 4,748,301 = 4,748,301 : x
  2. Step 2: Convert to fraction form
    2,230,294.50/4,748,301 = 4,748,301/x
  3. Step 3: Cross multiply
    2,230,294.50x = 4,748,301 × 4,748,301
  4. Step 4: Simplify right side
    2,230,294.50x = 22,546,362,386,601
  5. Step 5: Solve for x
    x = 22,546,362,386,601/2,230,294.50
  6. Step 6: Final answer
    x = 10,109,141.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.