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Finding the Third Proportional to 647,283 and 1,005,005

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Solution

The third proportional to 647,283 and 1,005,005 is: 1,560,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,283 : 1,005,005 = 1,005,005 : x
  2. Step 2: Convert to fraction form
    647,283/1,005,005 = 1,005,005/x
  3. Step 3: Cross multiply
    647,283x = 1,005,005 × 1,005,005
  4. Step 4: Simplify right side
    647,283x = 1,010,035,050,025
  5. Step 5: Solve for x
    x = 1,010,035,050,025/647,283
  6. Step 6: Final answer
    x = 1,560,422.64

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