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Finding the Third Proportional to 1,814,798 and 2,785,642

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Solution

The third proportional to 1,814,798 and 2,785,642 is: 4,275,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814,798 : 2,785,642 = 2,785,642 : x
  2. Step 2: Convert to fraction form
    1,814,798/2,785,642 = 2,785,642/x
  3. Step 3: Cross multiply
    1,814,798x = 2,785,642 × 2,785,642
  4. Step 4: Simplify right side
    1,814,798x = 7,759,801,352,164
  5. Step 5: Solve for x
    x = 7,759,801,352,164/1,814,798
  6. Step 6: Final answer
    x = 4,275,848.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.