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Finding the Third Proportional to 269,688,999 and 591,871,626

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Solution

The third proportional to 269,688,999 and 591,871,626 is: 1,298,948,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,688,999 : 591,871,626 = 591,871,626 : x
  2. Step 2: Convert to fraction form
    269,688,999/591,871,626 = 591,871,626/x
  3. Step 3: Cross multiply
    269,688,999x = 591,871,626 × 591,871,626
  4. Step 4: Simplify right side
    269,688,999x = 350,312,021,663,883,904
  5. Step 5: Solve for x
    x = 350,312,021,663,883,904/269,688,999
  6. Step 6: Final answer
    x = 1,298,948,132.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.