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Finding the Third Proportional to 526,176 and 1,152,306

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Solution

The third proportional to 526,176 and 1,152,306 is: 2,523,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,176 : 1,152,306 = 1,152,306 : x
  2. Step 2: Convert to fraction form
    526,176/1,152,306 = 1,152,306/x
  3. Step 3: Cross multiply
    526,176x = 1,152,306 × 1,152,306
  4. Step 4: Simplify right side
    526,176x = 1,327,809,117,636
  5. Step 5: Solve for x
    x = 1,327,809,117,636/526,176
  6. Step 6: Final answer
    x = 2,523,507.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.