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Finding the Third Proportional to 819,723,894 and 1,259,185,670

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Solution

The third proportional to 819,723,894 and 1,259,185,670 is: 1,934,247,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,723,894 : 1,259,185,670 = 1,259,185,670 : x
  2. Step 2: Convert to fraction form
    819,723,894/1,259,185,670 = 1,259,185,670/x
  3. Step 3: Cross multiply
    819,723,894x = 1,259,185,670 × 1,259,185,670
  4. Step 4: Simplify right side
    819,723,894x = 1,585,548,551,533,348,864
  5. Step 5: Solve for x
    x = 1,585,548,551,533,348,864/819,723,894
  6. Step 6: Final answer
    x = 1,934,247,083.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.