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Finding the Third Proportional to 721,563 and 1,566,084

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Solution

The third proportional to 721,563 and 1,566,084 is: 3,399,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,563 : 1,566,084 = 1,566,084 : x
  2. Step 2: Convert to fraction form
    721,563/1,566,084 = 1,566,084/x
  3. Step 3: Cross multiply
    721,563x = 1,566,084 × 1,566,084
  4. Step 4: Simplify right side
    721,563x = 2,452,619,095,056
  5. Step 5: Solve for x
    x = 2,452,619,095,056/721,563
  6. Step 6: Final answer
    x = 3,399,036.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.