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Finding the Third Proportional to 700,418 and 1,070,958

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Solution

The third proportional to 700,418 and 1,070,958 is: 1,637,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,418 : 1,070,958 = 1,070,958 : x
  2. Step 2: Convert to fraction form
    700,418/1,070,958 = 1,070,958/x
  3. Step 3: Cross multiply
    700,418x = 1,070,958 × 1,070,958
  4. Step 4: Simplify right side
    700,418x = 1,146,951,037,764
  5. Step 5: Solve for x
    x = 1,146,951,037,764/700,418
  6. Step 6: Final answer
    x = 1,637,523.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.