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Finding the Third Proportional to 1,428,914 and 3,054,343

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Solution

The third proportional to 1,428,914 and 3,054,343 is: 6,528,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,914 : 3,054,343 = 3,054,343 : x
  2. Step 2: Convert to fraction form
    1,428,914/3,054,343 = 3,054,343/x
  3. Step 3: Cross multiply
    1,428,914x = 3,054,343 × 3,054,343
  4. Step 4: Simplify right side
    1,428,914x = 9,329,011,161,649
  5. Step 5: Solve for x
    x = 9,329,011,161,649/1,428,914
  6. Step 6: Final answer
    x = 6,528,742.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.