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Finding the Third Proportional to 912,788 and 2,035,456

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Solution

The third proportional to 912,788 and 2,035,456 is: 4,538,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,788 : 2,035,456 = 2,035,456 : x
  2. Step 2: Convert to fraction form
    912,788/2,035,456 = 2,035,456/x
  3. Step 3: Cross multiply
    912,788x = 2,035,456 × 2,035,456
  4. Step 4: Simplify right side
    912,788x = 4,143,081,127,936
  5. Step 5: Solve for x
    x = 4,143,081,127,936/912,788
  6. Step 6: Final answer
    x = 4,538,930.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.