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Finding the Third Proportional to 730,860,714 and 1,578,215,844

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Solution

The third proportional to 730,860,714 and 1,578,215,844 is: 3,407,988,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,860,714 : 1,578,215,844 = 1,578,215,844 : x
  2. Step 2: Convert to fraction form
    730,860,714/1,578,215,844 = 1,578,215,844/x
  3. Step 3: Cross multiply
    730,860,714x = 1,578,215,844 × 1,578,215,844
  4. Step 4: Simplify right side
    730,860,714x = 2,490,765,250,252,632,576
  5. Step 5: Solve for x
    x = 2,490,765,250,252,632,576/730,860,714
  6. Step 6: Final answer
    x = 3,407,988,967.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.