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Finding the Third Proportional to 516,283 and 1,118,355

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Solution

The third proportional to 516,283 and 1,118,355 is: 2,422,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,283 : 1,118,355 = 1,118,355 : x
  2. Step 2: Convert to fraction form
    516,283/1,118,355 = 1,118,355/x
  3. Step 3: Cross multiply
    516,283x = 1,118,355 × 1,118,355
  4. Step 4: Simplify right side
    516,283x = 1,250,717,906,025
  5. Step 5: Solve for x
    x = 1,250,717,906,025/516,283
  6. Step 6: Final answer
    x = 2,422,543.27

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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.