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Finding the Third Proportional to 631,618 and 970,858

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Solution

The third proportional to 631,618 and 970,858 is: 1,492,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,618 : 970,858 = 970,858 : x
  2. Step 2: Convert to fraction form
    631,618/970,858 = 970,858/x
  3. Step 3: Cross multiply
    631,618x = 970,858 × 970,858
  4. Step 4: Simplify right side
    631,618x = 942,565,256,164
  5. Step 5: Solve for x
    x = 942,565,256,164/631,618
  6. Step 6: Final answer
    x = 1,492,302.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.