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Finding the Third Proportional to 2,352,278 and 5,102,859

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Solution

The third proportional to 2,352,278 and 5,102,859 is: 11,069,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352,278 : 5,102,859 = 5,102,859 : x
  2. Step 2: Convert to fraction form
    2,352,278/5,102,859 = 5,102,859/x
  3. Step 3: Cross multiply
    2,352,278x = 5,102,859 × 5,102,859
  4. Step 4: Simplify right side
    2,352,278x = 26,039,169,973,881
  5. Step 5: Solve for x
    x = 26,039,169,973,881/2,352,278
  6. Step 6: Final answer
    x = 11,069,767.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.