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Finding the Third Proportional to 915,970 and 1,984,412

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Solution

The third proportional to 915,970 and 1,984,412 is: 4,299,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,970 : 1,984,412 = 1,984,412 : x
  2. Step 2: Convert to fraction form
    915,970/1,984,412 = 1,984,412/x
  3. Step 3: Cross multiply
    915,970x = 1,984,412 × 1,984,412
  4. Step 4: Simplify right side
    915,970x = 3,937,890,985,744
  5. Step 5: Solve for x
    x = 3,937,890,985,744/915,970
  6. Step 6: Final answer
    x = 4,299,148.43

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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.