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Finding the Third Proportional to 631,605 and 970,833

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Solution

The third proportional to 631,605 and 970,833 is: 1,492,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,605 : 970,833 = 970,833 : x
  2. Step 2: Convert to fraction form
    631,605/970,833 = 970,833/x
  3. Step 3: Cross multiply
    631,605x = 970,833 × 970,833
  4. Step 4: Simplify right side
    631,605x = 942,516,713,889
  5. Step 5: Solve for x
    x = 942,516,713,889/631,605
  6. Step 6: Final answer
    x = 1,492,256.57

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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.