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Finding the Third Proportional to 903,798 and 1,927,692

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Solution

The third proportional to 903,798 and 1,927,692 is: 4,111,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,798 : 1,927,692 = 1,927,692 : x
  2. Step 2: Convert to fraction form
    903,798/1,927,692 = 1,927,692/x
  3. Step 3: Cross multiply
    903,798x = 1,927,692 × 1,927,692
  4. Step 4: Simplify right side
    903,798x = 3,715,996,446,864
  5. Step 5: Solve for x
    x = 3,715,996,446,864/903,798
  6. Step 6: Final answer
    x = 4,111,534.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.