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Finding the Third Proportional to 475,406 and 1,055,788

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Solution

The third proportional to 475,406 and 1,055,788 is: 2,344,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,406 : 1,055,788 = 1,055,788 : x
  2. Step 2: Convert to fraction form
    475,406/1,055,788 = 1,055,788/x
  3. Step 3: Cross multiply
    475,406x = 1,055,788 × 1,055,788
  4. Step 4: Simplify right side
    475,406x = 1,114,688,300,944
  5. Step 5: Solve for x
    x = 1,114,688,300,944/475,406
  6. Step 6: Final answer
    x = 2,344,708.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.