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Finding the Third Proportional to 1,048,407 and 2,293,098

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Solution

The third proportional to 1,048,407 and 2,293,098 is: 5,015,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,407 : 2,293,098 = 2,293,098 : x
  2. Step 2: Convert to fraction form
    1,048,407/2,293,098 = 2,293,098/x
  3. Step 3: Cross multiply
    1,048,407x = 2,293,098 × 2,293,098
  4. Step 4: Simplify right side
    1,048,407x = 5,258,298,437,604
  5. Step 5: Solve for x
    x = 5,258,298,437,604/1,048,407
  6. Step 6: Final answer
    x = 5,015,512.52

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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.