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Finding the Third Proportional to 483,431 and 1,036,807

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Solution

The third proportional to 483,431 and 1,036,807 is: 2,223,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,431 : 1,036,807 = 1,036,807 : x
  2. Step 2: Convert to fraction form
    483,431/1,036,807 = 1,036,807/x
  3. Step 3: Cross multiply
    483,431x = 1,036,807 × 1,036,807
  4. Step 4: Simplify right side
    483,431x = 1,074,968,755,249
  5. Step 5: Solve for x
    x = 1,074,968,755,249/483,431
  6. Step 6: Final answer
    x = 2,223,623.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.