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Finding the Third Proportional to 702,768 and 1,540,968

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Solution

The third proportional to 702,768 and 1,540,968 is: 3,378,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,768 : 1,540,968 = 1,540,968 : x
  2. Step 2: Convert to fraction form
    702,768/1,540,968 = 1,540,968/x
  3. Step 3: Cross multiply
    702,768x = 1,540,968 × 1,540,968
  4. Step 4: Simplify right side
    702,768x = 2,374,582,377,024
  5. Step 5: Solve for x
    x = 2,374,582,377,024/702,768
  6. Step 6: Final answer
    x = 3,378,899.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.