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Finding the Third Proportional to 528,314 and 1,030,156

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Solution

The third proportional to 528,314 and 1,030,156 is: 2,008,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,314 : 1,030,156 = 1,030,156 : x
  2. Step 2: Convert to fraction form
    528,314/1,030,156 = 1,030,156/x
  3. Step 3: Cross multiply
    528,314x = 1,030,156 × 1,030,156
  4. Step 4: Simplify right side
    528,314x = 1,061,221,384,336
  5. Step 5: Solve for x
    x = 1,061,221,384,336/528,314
  6. Step 6: Final answer
    x = 2,008,694.42

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.