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Finding the Third Proportional to 525,042 and 1,145,115

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Solution

The third proportional to 525,042 and 1,145,115 is: 2,497,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,042 : 1,145,115 = 1,145,115 : x
  2. Step 2: Convert to fraction form
    525,042/1,145,115 = 1,145,115/x
  3. Step 3: Cross multiply
    525,042x = 1,145,115 × 1,145,115
  4. Step 4: Simplify right side
    525,042x = 1,311,288,363,225
  5. Step 5: Solve for x
    x = 1,311,288,363,225/525,042
  6. Step 6: Final answer
    x = 2,497,492.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.