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Finding the Third Proportional to 514,681 and 1,115,234

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Solution

The third proportional to 514,681 and 1,115,234 is: 2,416,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,681 : 1,115,234 = 1,115,234 : x
  2. Step 2: Convert to fraction form
    514,681/1,115,234 = 1,115,234/x
  3. Step 3: Cross multiply
    514,681x = 1,115,234 × 1,115,234
  4. Step 4: Simplify right side
    514,681x = 1,243,746,874,756
  5. Step 5: Solve for x
    x = 1,243,746,874,756/514,681
  6. Step 6: Final answer
    x = 2,416,539.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.