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Finding the Third Proportional to 4,732,278 and 7,320,657

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Solution

The third proportional to 4,732,278 and 7,320,657 is: 11,324,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,278 : 7,320,657 = 7,320,657 : x
  2. Step 2: Convert to fraction form
    4,732,278/7,320,657 = 7,320,657/x
  3. Step 3: Cross multiply
    4,732,278x = 7,320,657 × 7,320,657
  4. Step 4: Simplify right side
    4,732,278x = 53,592,018,911,649
  5. Step 5: Solve for x
    x = 53,592,018,911,649/4,732,278
  6. Step 6: Final answer
    x = 11,324,782.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.