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Finding the Third Proportional to 766,270,854 and 1,183,875,588

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Solution

The third proportional to 766,270,854 and 1,183,875,588 is: 1,829,067,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,270,854 : 1,183,875,588 = 1,183,875,588 : x
  2. Step 2: Convert to fraction form
    766,270,854/1,183,875,588 = 1,183,875,588/x
  3. Step 3: Cross multiply
    766,270,854x = 1,183,875,588 × 1,183,875,588
  4. Step 4: Simplify right side
    766,270,854x = 1,401,561,407,862,345,728
  5. Step 5: Solve for x
    x = 1,401,561,407,862,345,728/766,270,854
  6. Step 6: Final answer
    x = 1,829,067,881.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.