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Finding the Third Proportional to 744,798 and 1,594,566

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Solution

The third proportional to 744,798 and 1,594,566 is: 3,413,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,798 : 1,594,566 = 1,594,566 : x
  2. Step 2: Convert to fraction form
    744,798/1,594,566 = 1,594,566/x
  3. Step 3: Cross multiply
    744,798x = 1,594,566 × 1,594,566
  4. Step 4: Simplify right side
    744,798x = 2,542,640,728,356
  5. Step 5: Solve for x
    x = 2,542,640,728,356/744,798
  6. Step 6: Final answer
    x = 3,413,866.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.