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Finding the Third Proportional to 1,312,880 and 2,812,384

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Solution

The third proportional to 1,312,880 and 2,812,384 is: 6,024,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,880 : 2,812,384 = 2,812,384 : x
  2. Step 2: Convert to fraction form
    1,312,880/2,812,384 = 2,812,384/x
  3. Step 3: Cross multiply
    1,312,880x = 2,812,384 × 2,812,384
  4. Step 4: Simplify right side
    1,312,880x = 7,909,503,763,456
  5. Step 5: Solve for x
    x = 7,909,503,763,456/1,312,880
  6. Step 6: Final answer
    x = 6,024,544.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.