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Finding the Third Proportional to 703,460 and 1,090,884

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Solution

The third proportional to 703,460 and 1,090,884 is: 1,691,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,460 : 1,090,884 = 1,090,884 : x
  2. Step 2: Convert to fraction form
    703,460/1,090,884 = 1,090,884/x
  3. Step 3: Cross multiply
    703,460x = 1,090,884 × 1,090,884
  4. Step 4: Simplify right side
    703,460x = 1,190,027,901,456
  5. Step 5: Solve for x
    x = 1,190,027,901,456/703,460
  6. Step 6: Final answer
    x = 1,691,678.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.