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Finding the Third Proportional to 530,084 and 1,177,772

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Solution

The third proportional to 530,084 and 1,177,772 is: 2,616,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,084 : 1,177,772 = 1,177,772 : x
  2. Step 2: Convert to fraction form
    530,084/1,177,772 = 1,177,772/x
  3. Step 3: Cross multiply
    530,084x = 1,177,772 × 1,177,772
  4. Step 4: Simplify right side
    530,084x = 1,387,146,883,984
  5. Step 5: Solve for x
    x = 1,387,146,883,984/530,084
  6. Step 6: Final answer
    x = 2,616,843.53

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.