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Finding the Third Proportional to 733,110 and 1,073,421

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Solution

The third proportional to 733,110 and 1,073,421 is: 1,571,704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,110 : 1,073,421 = 1,073,421 : x
  2. Step 2: Convert to fraction form
    733,110/1,073,421 = 1,073,421/x
  3. Step 3: Cross multiply
    733,110x = 1,073,421 × 1,073,421
  4. Step 4: Simplify right side
    733,110x = 1,152,232,643,241
  5. Step 5: Solve for x
    x = 1,152,232,643,241/733,110
  6. Step 6: Final answer
    x = 1,571,704.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.