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Finding the Third Proportional to 566,178 and 1,334,661

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Solution

The third proportional to 566,178 and 1,334,661 is: 3,146,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,178 : 1,334,661 = 1,334,661 : x
  2. Step 2: Convert to fraction form
    566,178/1,334,661 = 1,334,661/x
  3. Step 3: Cross multiply
    566,178x = 1,334,661 × 1,334,661
  4. Step 4: Simplify right side
    566,178x = 1,781,319,984,921
  5. Step 5: Solve for x
    x = 1,781,319,984,921/566,178
  6. Step 6: Final answer
    x = 3,146,219.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.