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Finding the Third Proportional to 917,944 and 1,403,208

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Solution

The third proportional to 917,944 and 1,403,208 is: 2,145,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,944 : 1,403,208 = 1,403,208 : x
  2. Step 2: Convert to fraction form
    917,944/1,403,208 = 1,403,208/x
  3. Step 3: Cross multiply
    917,944x = 1,403,208 × 1,403,208
  4. Step 4: Simplify right side
    917,944x = 1,968,992,691,264
  5. Step 5: Solve for x
    x = 1,968,992,691,264/917,944
  6. Step 6: Final answer
    x = 2,145,003.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.