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Finding the Third Proportional to 751,467,892 and 1,207,980,708

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Solution

The third proportional to 751,467,892 and 1,207,980,708 is: 1,941,822,673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,467,892 : 1,207,980,708 = 1,207,980,708 : x
  2. Step 2: Convert to fraction form
    751,467,892/1,207,980,708 = 1,207,980,708/x
  3. Step 3: Cross multiply
    751,467,892x = 1,207,980,708 × 1,207,980,708
  4. Step 4: Simplify right side
    751,467,892x = 1,459,217,390,900,181,248
  5. Step 5: Solve for x
    x = 1,459,217,390,900,181,248/751,467,892
  6. Step 6: Final answer
    x = 1,941,822,673.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.