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Finding the Third Proportional to 1,299,520,584 and 2,806,199,622

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Solution

The third proportional to 1,299,520,584 and 2,806,199,622 is: 6,059,739,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,520,584 : 2,806,199,622 = 2,806,199,622 : x
  2. Step 2: Convert to fraction form
    1,299,520,584/2,806,199,622 = 2,806,199,622/x
  3. Step 3: Cross multiply
    1,299,520,584x = 2,806,199,622 × 2,806,199,622
  4. Step 4: Simplify right side
    1,299,520,584x = 7,874,756,318,512,943,104
  5. Step 5: Solve for x
    x = 7,874,756,318,512,943,104/1,299,520,584
  6. Step 6: Final answer
    x = 6,059,739,580.48

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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.