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Finding the Third Proportional to 702,778 and 1,532,768

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Solution

The third proportional to 702,778 and 1,532,768 is: 3,342,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,778 : 1,532,768 = 1,532,768 : x
  2. Step 2: Convert to fraction form
    702,778/1,532,768 = 1,532,768/x
  3. Step 3: Cross multiply
    702,778x = 1,532,768 × 1,532,768
  4. Step 4: Simplify right side
    702,778x = 2,349,377,741,824
  5. Step 5: Solve for x
    x = 2,349,377,741,824/702,778
  6. Step 6: Final answer
    x = 3,342,987.03

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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.