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Finding the Third Proportional to 598,948 and 1,297,498

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Solution

The third proportional to 598,948 and 1,297,498 is: 2,810,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,948 : 1,297,498 = 1,297,498 : x
  2. Step 2: Convert to fraction form
    598,948/1,297,498 = 1,297,498/x
  3. Step 3: Cross multiply
    598,948x = 1,297,498 × 1,297,498
  4. Step 4: Simplify right side
    598,948x = 1,683,501,060,004
  5. Step 5: Solve for x
    x = 1,683,501,060,004/598,948
  6. Step 6: Final answer
    x = 2,810,763.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.