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Finding the Third Proportional to 601,776 and 1,297,594

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Solution

The third proportional to 601,776 and 1,297,594 is: 2,797,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,776 : 1,297,594 = 1,297,594 : x
  2. Step 2: Convert to fraction form
    601,776/1,297,594 = 1,297,594/x
  3. Step 3: Cross multiply
    601,776x = 1,297,594 × 1,297,594
  4. Step 4: Simplify right side
    601,776x = 1,683,750,188,836
  5. Step 5: Solve for x
    x = 1,683,750,188,836/601,776
  6. Step 6: Final answer
    x = 2,797,968.33

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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.