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Finding the Third Proportional to 556,088 and 1,214,112

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Solution

The third proportional to 556,088 and 1,214,112 is: 2,650,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,088 : 1,214,112 = 1,214,112 : x
  2. Step 2: Convert to fraction form
    556,088/1,214,112 = 1,214,112/x
  3. Step 3: Cross multiply
    556,088x = 1,214,112 × 1,214,112
  4. Step 4: Simplify right side
    556,088x = 1,474,067,948,544
  5. Step 5: Solve for x
    x = 1,474,067,948,544/556,088
  6. Step 6: Final answer
    x = 2,650,781.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.