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Finding the Third Proportional to 744,779 and 1,607,611

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Solution

The third proportional to 744,779 and 1,607,611 is: 3,470,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,779 : 1,607,611 = 1,607,611 : x
  2. Step 2: Convert to fraction form
    744,779/1,607,611 = 1,607,611/x
  3. Step 3: Cross multiply
    744,779x = 1,607,611 × 1,607,611
  4. Step 4: Simplify right side
    744,779x = 2,584,413,127,321
  5. Step 5: Solve for x
    x = 2,584,413,127,321/744,779
  6. Step 6: Final answer
    x = 3,470,040.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.