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Finding the Third Proportional to 1,056,946 and 2,323,844

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Solution

The third proportional to 1,056,946 and 2,323,844 is: 5,109,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,946 : 2,323,844 = 2,323,844 : x
  2. Step 2: Convert to fraction form
    1,056,946/2,323,844 = 2,323,844/x
  3. Step 3: Cross multiply
    1,056,946x = 2,323,844 × 2,323,844
  4. Step 4: Simplify right side
    1,056,946x = 5,400,250,936,336
  5. Step 5: Solve for x
    x = 5,400,250,936,336/1,056,946
  6. Step 6: Final answer
    x = 5,109,296.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.