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Finding the Third Proportional to 1,007,416 and 1,520,824

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Solution

The third proportional to 1,007,416 and 1,520,824 is: 2,295,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,416 : 1,520,824 = 1,520,824 : x
  2. Step 2: Convert to fraction form
    1,007,416/1,520,824 = 1,520,824/x
  3. Step 3: Cross multiply
    1,007,416x = 1,520,824 × 1,520,824
  4. Step 4: Simplify right side
    1,007,416x = 2,312,905,638,976
  5. Step 5: Solve for x
    x = 2,312,905,638,976/1,007,416
  6. Step 6: Final answer
    x = 2,295,879.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.