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Finding the Third Proportional to 556,226 and 861,667

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Solution

The third proportional to 556,226 and 861,667 is: 1,334,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,226 : 861,667 = 861,667 : x
  2. Step 2: Convert to fraction form
    556,226/861,667 = 861,667/x
  3. Step 3: Cross multiply
    556,226x = 861,667 × 861,667
  4. Step 4: Simplify right side
    556,226x = 742,470,018,889
  5. Step 5: Solve for x
    x = 742,470,018,889/556,226
  6. Step 6: Final answer
    x = 1,334,835.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.