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Finding the Third Proportional to 1,207,116 and 2,513,403

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Solution

The third proportional to 1,207,116 and 2,513,403 is: 5,233,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,116 : 2,513,403 = 2,513,403 : x
  2. Step 2: Convert to fraction form
    1,207,116/2,513,403 = 2,513,403/x
  3. Step 3: Cross multiply
    1,207,116x = 2,513,403 × 2,513,403
  4. Step 4: Simplify right side
    1,207,116x = 6,317,194,640,409
  5. Step 5: Solve for x
    x = 6,317,194,640,409/1,207,116
  6. Step 6: Final answer
    x = 5,233,295.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.