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Finding the Third Proportional to 557,798 and 1,148,606

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Solution

The third proportional to 557,798 and 1,148,606 is: 2,365,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,798 : 1,148,606 = 1,148,606 : x
  2. Step 2: Convert to fraction form
    557,798/1,148,606 = 1,148,606/x
  3. Step 3: Cross multiply
    557,798x = 1,148,606 × 1,148,606
  4. Step 4: Simplify right side
    557,798x = 1,319,295,743,236
  5. Step 5: Solve for x
    x = 1,319,295,743,236/557,798
  6. Step 6: Final answer
    x = 2,365,185.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.