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Finding the Third Proportional to 631,989 and 894,246

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Solution

The third proportional to 631,989 and 894,246 is: 1,265,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,989 : 894,246 = 894,246 : x
  2. Step 2: Convert to fraction form
    631,989/894,246 = 894,246/x
  3. Step 3: Cross multiply
    631,989x = 894,246 × 894,246
  4. Step 4: Simplify right side
    631,989x = 799,675,908,516
  5. Step 5: Solve for x
    x = 799,675,908,516/631,989
  6. Step 6: Final answer
    x = 1,265,332.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.