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Finding the Third Proportional to 514,206 and 1,053,468

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Solution

The third proportional to 514,206 and 1,053,468 is: 2,158,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,206 : 1,053,468 = 1,053,468 : x
  2. Step 2: Convert to fraction form
    514,206/1,053,468 = 1,053,468/x
  3. Step 3: Cross multiply
    514,206x = 1,053,468 × 1,053,468
  4. Step 4: Simplify right side
    514,206x = 1,109,794,827,024
  5. Step 5: Solve for x
    x = 1,109,794,827,024/514,206
  6. Step 6: Final answer
    x = 2,158,268.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.