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Finding the Third Proportional to 2,431,964 and 3,634,334

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Solution

The third proportional to 2,431,964 and 3,634,334 is: 5,431,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,964 : 3,634,334 = 3,634,334 : x
  2. Step 2: Convert to fraction form
    2,431,964/3,634,334 = 3,634,334/x
  3. Step 3: Cross multiply
    2,431,964x = 3,634,334 × 3,634,334
  4. Step 4: Simplify right side
    2,431,964x = 13,208,383,623,556
  5. Step 5: Solve for x
    x = 13,208,383,623,556/2,431,964
  6. Step 6: Final answer
    x = 5,431,159.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.