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Finding the Third Proportional to 522,291 and 1,142,988

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Solution

The third proportional to 522,291 and 1,142,988 is: 2,501,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,291 : 1,142,988 = 1,142,988 : x
  2. Step 2: Convert to fraction form
    522,291/1,142,988 = 1,142,988/x
  3. Step 3: Cross multiply
    522,291x = 1,142,988 × 1,142,988
  4. Step 4: Simplify right side
    522,291x = 1,306,421,568,144
  5. Step 5: Solve for x
    x = 1,306,421,568,144/522,291
  6. Step 6: Final answer
    x = 2,501,328.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.