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Finding the Third Proportional to 483,312 and 1,049,664

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Solution

The third proportional to 483,312 and 1,049,664 is: 2,279,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,312 : 1,049,664 = 1,049,664 : x
  2. Step 2: Convert to fraction form
    483,312/1,049,664 = 1,049,664/x
  3. Step 3: Cross multiply
    483,312x = 1,049,664 × 1,049,664
  4. Step 4: Simplify right side
    483,312x = 1,101,794,512,896
  5. Step 5: Solve for x
    x = 1,101,794,512,896/483,312
  6. Step 6: Final answer
    x = 2,279,675.47

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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.