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Finding the Third Proportional to 2,154,356 and 4,588,648

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Solution

The third proportional to 2,154,356 and 4,588,648 is: 9,773,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,356 : 4,588,648 = 4,588,648 : x
  2. Step 2: Convert to fraction form
    2,154,356/4,588,648 = 4,588,648/x
  3. Step 3: Cross multiply
    2,154,356x = 4,588,648 × 4,588,648
  4. Step 4: Simplify right side
    2,154,356x = 21,055,690,467,904
  5. Step 5: Solve for x
    x = 21,055,690,467,904/2,154,356
  6. Step 6: Final answer
    x = 9,773,542.75

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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.