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Finding the Third Proportional to 539,258,638 and 1,161,820,928

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Solution

The third proportional to 539,258,638 and 1,161,820,928 is: 2,503,117,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,258,638 : 1,161,820,928 = 1,161,820,928 : x
  2. Step 2: Convert to fraction form
    539,258,638/1,161,820,928 = 1,161,820,928/x
  3. Step 3: Cross multiply
    539,258,638x = 1,161,820,928 × 1,161,820,928
  4. Step 4: Simplify right side
    539,258,638x = 1,349,827,868,738,781,184
  5. Step 5: Solve for x
    x = 1,349,827,868,738,781,184/539,258,638
  6. Step 6: Final answer
    x = 2,503,117,750.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.