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Finding the Third Proportional to 403,996 and 886,688

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Solution

The third proportional to 403,996 and 886,688 is: 1,946,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,996 : 886,688 = 886,688 : x
  2. Step 2: Convert to fraction form
    403,996/886,688 = 886,688/x
  3. Step 3: Cross multiply
    403,996x = 886,688 × 886,688
  4. Step 4: Simplify right side
    403,996x = 786,215,609,344
  5. Step 5: Solve for x
    x = 786,215,609,344/403,996
  6. Step 6: Final answer
    x = 1,946,097.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.