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Finding the Third Proportional to 2,485,748 and 5,445,768

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Solution

The third proportional to 2,485,748 and 5,445,768 is: 11,930,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485,748 : 5,445,768 = 5,445,768 : x
  2. Step 2: Convert to fraction form
    2,485,748/5,445,768 = 5,445,768/x
  3. Step 3: Cross multiply
    2,485,748x = 5,445,768 × 5,445,768
  4. Step 4: Simplify right side
    2,485,748x = 29,656,389,109,824
  5. Step 5: Solve for x
    x = 29,656,389,109,824/2,485,748
  6. Step 6: Final answer
    x = 11,930,569.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.