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Finding the Third Proportional to 710,589,930 and 1,584,567,512

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Solution

The third proportional to 710,589,930 and 1,584,567,512 is: 3,533,478,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,589,930 : 1,584,567,512 = 1,584,567,512 : x
  2. Step 2: Convert to fraction form
    710,589,930/1,584,567,512 = 1,584,567,512/x
  3. Step 3: Cross multiply
    710,589,930x = 1,584,567,512 × 1,584,567,512
  4. Step 4: Simplify right side
    710,589,930x = 2,510,854,200,085,870,080
  5. Step 5: Solve for x
    x = 2,510,854,200,085,870,080/710,589,930
  6. Step 6: Final answer
    x = 3,533,478,443.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.