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Finding the Third Proportional to 483,415 and 1,036,777

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Solution

The third proportional to 483,415 and 1,036,777 is: 2,223,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,415 : 1,036,777 = 1,036,777 : x
  2. Step 2: Convert to fraction form
    483,415/1,036,777 = 1,036,777/x
  3. Step 3: Cross multiply
    483,415x = 1,036,777 × 1,036,777
  4. Step 4: Simplify right side
    483,415x = 1,074,906,547,729
  5. Step 5: Solve for x
    x = 1,074,906,547,729/483,415
  6. Step 6: Final answer
    x = 2,223,568.88

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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.