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Finding the Third Proportional to 566,054 and 836,121

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Solution

The third proportional to 566,054 and 836,121 is: 1,235,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,054 : 836,121 = 836,121 : x
  2. Step 2: Convert to fraction form
    566,054/836,121 = 836,121/x
  3. Step 3: Cross multiply
    566,054x = 836,121 × 836,121
  4. Step 4: Simplify right side
    566,054x = 699,098,326,641
  5. Step 5: Solve for x
    x = 699,098,326,641/566,054
  6. Step 6: Final answer
    x = 1,235,038.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.