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Finding the Third Proportional to 472,772 and 1,024,312

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Solution

The third proportional to 472,772 and 1,024,312 is: 2,219,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,772 : 1,024,312 = 1,024,312 : x
  2. Step 2: Convert to fraction form
    472,772/1,024,312 = 1,024,312/x
  3. Step 3: Cross multiply
    472,772x = 1,024,312 × 1,024,312
  4. Step 4: Simplify right side
    472,772x = 1,049,215,073,344
  5. Step 5: Solve for x
    x = 1,049,215,073,344/472,772
  6. Step 6: Final answer
    x = 2,219,283.45

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Why These Related Problems?

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