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Finding the Third Proportional to 689,613,955 and 1,033,409,626

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Solution

The third proportional to 689,613,955 and 1,033,409,626 is: 1,548,598,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,613,955 : 1,033,409,626 = 1,033,409,626 : x
  2. Step 2: Convert to fraction form
    689,613,955/1,033,409,626 = 1,033,409,626/x
  3. Step 3: Cross multiply
    689,613,955x = 1,033,409,626 × 1,033,409,626
  4. Step 4: Simplify right side
    689,613,955x = 1,067,935,455,109,459,840
  5. Step 5: Solve for x
    x = 1,067,935,455,109,459,840/689,613,955
  6. Step 6: Final answer
    x = 1,548,598,962.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.