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Finding the Third Proportional to 514,213 and 1,107,449

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Solution

The third proportional to 514,213 and 1,107,449 is: 2,385,088.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,213 : 1,107,449 = 1,107,449 : x
  2. Step 2: Convert to fraction form
    514,213/1,107,449 = 1,107,449/x
  3. Step 3: Cross multiply
    514,213x = 1,107,449 × 1,107,449
  4. Step 4: Simplify right side
    514,213x = 1,226,443,287,601
  5. Step 5: Solve for x
    x = 1,226,443,287,601/514,213
  6. Step 6: Final answer
    x = 2,385,088.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.