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Finding the Third Proportional to 514,992 and 1,118,646

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Solution

The third proportional to 514,992 and 1,118,646 is: 2,429,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,992 : 1,118,646 = 1,118,646 : x
  2. Step 2: Convert to fraction form
    514,992/1,118,646 = 1,118,646/x
  3. Step 3: Cross multiply
    514,992x = 1,118,646 × 1,118,646
  4. Step 4: Simplify right side
    514,992x = 1,251,368,873,316
  5. Step 5: Solve for x
    x = 1,251,368,873,316/514,992
  6. Step 6: Final answer
    x = 2,429,880.22

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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.