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Finding the Third Proportional to 525,234 and 1,152,588

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Solution

The third proportional to 525,234 and 1,152,588 is: 2,529,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,234 : 1,152,588 = 1,152,588 : x
  2. Step 2: Convert to fraction form
    525,234/1,152,588 = 1,152,588/x
  3. Step 3: Cross multiply
    525,234x = 1,152,588 × 1,152,588
  4. Step 4: Simplify right side
    525,234x = 1,328,459,097,744
  5. Step 5: Solve for x
    x = 1,328,459,097,744/525,234
  6. Step 6: Final answer
    x = 2,529,270.95

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Why These Related Problems?

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