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Finding the Third Proportional to 689,809,850 and 1,041,876,544

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Solution

The third proportional to 689,809,850 and 1,041,876,544 is: 1,573,631,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,809,850 : 1,041,876,544 = 1,041,876,544 : x
  2. Step 2: Convert to fraction form
    689,809,850/1,041,876,544 = 1,041,876,544/x
  3. Step 3: Cross multiply
    689,809,850x = 1,041,876,544 × 1,041,876,544
  4. Step 4: Simplify right side
    689,809,850x = 1,085,506,732,937,383,936
  5. Step 5: Solve for x
    x = 1,085,506,732,937,383,936/689,809,850
  6. Step 6: Final answer
    x = 1,573,631,824.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.