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Finding the Third Proportional to 702,454 and 1,523,007

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Solution

The third proportional to 702,454 and 1,523,007 is: 3,302,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,454 : 1,523,007 = 1,523,007 : x
  2. Step 2: Convert to fraction form
    702,454/1,523,007 = 1,523,007/x
  3. Step 3: Cross multiply
    702,454x = 1,523,007 × 1,523,007
  4. Step 4: Simplify right side
    702,454x = 2,319,550,322,049
  5. Step 5: Solve for x
    x = 2,319,550,322,049/702,454
  6. Step 6: Final answer
    x = 3,302,067.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.