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Finding the Third Proportional to 702,967 and 1,534,517

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Solution

The third proportional to 702,967 and 1,534,517 is: 3,349,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,967 : 1,534,517 = 1,534,517 : x
  2. Step 2: Convert to fraction form
    702,967/1,534,517 = 1,534,517/x
  3. Step 3: Cross multiply
    702,967x = 1,534,517 × 1,534,517
  4. Step 4: Simplify right side
    702,967x = 2,354,742,423,289
  5. Step 5: Solve for x
    x = 2,354,742,423,289/702,967
  6. Step 6: Final answer
    x = 3,349,719.72

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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.