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Finding the Third Proportional to 472,788 and 1,012,014

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Solution

The third proportional to 472,788 and 1,012,014 is: 2,166,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,788 : 1,012,014 = 1,012,014 : x
  2. Step 2: Convert to fraction form
    472,788/1,012,014 = 1,012,014/x
  3. Step 3: Cross multiply
    472,788x = 1,012,014 × 1,012,014
  4. Step 4: Simplify right side
    472,788x = 1,024,172,336,196
  5. Step 5: Solve for x
    x = 1,024,172,336,196/472,788
  6. Step 6: Final answer
    x = 2,166,240.12

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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.