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Finding the Third Proportional to 1,197,508 and 2,581,640

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Solution

The third proportional to 1,197,508 and 2,581,640 is: 5,565,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,508 : 2,581,640 = 2,581,640 : x
  2. Step 2: Convert to fraction form
    1,197,508/2,581,640 = 2,581,640/x
  3. Step 3: Cross multiply
    1,197,508x = 2,581,640 × 2,581,640
  4. Step 4: Simplify right side
    1,197,508x = 6,664,865,089,600
  5. Step 5: Solve for x
    x = 6,664,865,089,600/1,197,508
  6. Step 6: Final answer
    x = 5,565,612.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.