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Finding the Third Proportional to 511,703,712 and 786,039,498.28

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Solution

The third proportional to 511,703,712 and 786,039,498.28 is: 1,207,452,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,703,712 : 786,039,498.28 = 786,039,498.28 : x
  2. Step 2: Convert to fraction form
    511,703,712/786,039,498.28 = 786,039,498.28/x
  3. Step 3: Cross multiply
    511,703,712x = 786,039,498.28 × 786,039,498.28
  4. Step 4: Simplify right side
    511,703,712x = 617,858,092,858,239,232
  5. Step 5: Solve for x
    x = 617,858,092,858,239,232/511,703,712
  6. Step 6: Final answer
    x = 1,207,452,825.47

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