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Finding the Third Proportional to 529,338 and 1,153,842

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Solution

The third proportional to 529,338 and 1,153,842 is: 2,515,125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,338 : 1,153,842 = 1,153,842 : x
  2. Step 2: Convert to fraction form
    529,338/1,153,842 = 1,153,842/x
  3. Step 3: Cross multiply
    529,338x = 1,153,842 × 1,153,842
  4. Step 4: Simplify right side
    529,338x = 1,331,351,360,964
  5. Step 5: Solve for x
    x = 1,331,351,360,964/529,338
  6. Step 6: Final answer
    x = 2,515,125.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.