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Finding the Third Proportional to 545,229 and 1,156,554

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Solution

The third proportional to 545,229 and 1,156,554 is: 2,453,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,229 : 1,156,554 = 1,156,554 : x
  2. Step 2: Convert to fraction form
    545,229/1,156,554 = 1,156,554/x
  3. Step 3: Cross multiply
    545,229x = 1,156,554 × 1,156,554
  4. Step 4: Simplify right side
    545,229x = 1,337,617,154,916
  5. Step 5: Solve for x
    x = 1,337,617,154,916/545,229
  6. Step 6: Final answer
    x = 2,453,312.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.