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Finding the Third Proportional to 525,543 and 1,152,823

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Solution

The third proportional to 525,543 and 1,152,823 is: 2,528,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,543 : 1,152,823 = 1,152,823 : x
  2. Step 2: Convert to fraction form
    525,543/1,152,823 = 1,152,823/x
  3. Step 3: Cross multiply
    525,543x = 1,152,823 × 1,152,823
  4. Step 4: Simplify right side
    525,543x = 1,329,000,869,329
  5. Step 5: Solve for x
    x = 1,329,000,869,329/525,543
  6. Step 6: Final answer
    x = 2,528,814.71

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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.