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Finding the Third Proportional to 528,826 and 1,031,084

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Solution

The third proportional to 528,826 and 1,031,084 is: 2,010,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,826 : 1,031,084 = 1,031,084 : x
  2. Step 2: Convert to fraction form
    528,826/1,031,084 = 1,031,084/x
  3. Step 3: Cross multiply
    528,826x = 1,031,084 × 1,031,084
  4. Step 4: Simplify right side
    528,826x = 1,063,134,215,056
  5. Step 5: Solve for x
    x = 1,063,134,215,056/528,826
  6. Step 6: Final answer
    x = 2,010,366.77

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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.