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Finding the Third Proportional to 741,334 and 1,615,724

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Solution

The third proportional to 741,334 and 1,615,724 is: 3,521,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,334 : 1,615,724 = 1,615,724 : x
  2. Step 2: Convert to fraction form
    741,334/1,615,724 = 1,615,724/x
  3. Step 3: Cross multiply
    741,334x = 1,615,724 × 1,615,724
  4. Step 4: Simplify right side
    741,334x = 2,610,564,044,176
  5. Step 5: Solve for x
    x = 2,610,564,044,176/741,334
  6. Step 6: Final answer
    x = 3,521,441.14

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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.