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Finding the Third Proportional to 980,724 and 1,515,420

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Solution

The third proportional to 980,724 and 1,515,420 is: 2,341,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,724 : 1,515,420 = 1,515,420 : x
  2. Step 2: Convert to fraction form
    980,724/1,515,420 = 1,515,420/x
  3. Step 3: Cross multiply
    980,724x = 1,515,420 × 1,515,420
  4. Step 4: Simplify right side
    980,724x = 2,296,497,776,400
  5. Step 5: Solve for x
    x = 2,296,497,776,400/980,724
  6. Step 6: Final answer
    x = 2,341,635.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.