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Finding the Third Proportional to 526,842 and 1,137,920

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Solution

The third proportional to 526,842 and 1,137,920 is: 2,457,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,842 : 1,137,920 = 1,137,920 : x
  2. Step 2: Convert to fraction form
    526,842/1,137,920 = 1,137,920/x
  3. Step 3: Cross multiply
    526,842x = 1,137,920 × 1,137,920
  4. Step 4: Simplify right side
    526,842x = 1,294,861,926,400
  5. Step 5: Solve for x
    x = 1,294,861,926,400/526,842
  6. Step 6: Final answer
    x = 2,457,780.37

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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.