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Finding the Third Proportional to 1,297,269,780 and 2,798,612,580

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Solution

The third proportional to 1,297,269,780 and 2,798,612,580 is: 6,037,473,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,269,780 : 2,798,612,580 = 2,798,612,580 : x
  2. Step 2: Convert to fraction form
    1,297,269,780/2,798,612,580 = 2,798,612,580/x
  3. Step 3: Cross multiply
    1,297,269,780x = 2,798,612,580 × 2,798,612,580
  4. Step 4: Simplify right side
    1,297,269,780x = 7,832,232,372,934,256,640
  5. Step 5: Solve for x
    x = 7,832,232,372,934,256,640/1,297,269,780
  6. Step 6: Final answer
    x = 6,037,473,849.84

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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.