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Finding the Third Proportional to 725,546,235 and 1,094,332,515

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Solution

The third proportional to 725,546,235 and 1,094,332,515 is: 1,650,568,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,546,235 : 1,094,332,515 = 1,094,332,515 : x
  2. Step 2: Convert to fraction form
    725,546,235/1,094,332,515 = 1,094,332,515/x
  3. Step 3: Cross multiply
    725,546,235x = 1,094,332,515 × 1,094,332,515
  4. Step 4: Simplify right side
    725,546,235x = 1,197,563,653,386,225,152
  5. Step 5: Solve for x
    x = 1,197,563,653,386,225,152/725,546,235
  6. Step 6: Final answer
    x = 1,650,568,351.98

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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.