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Finding the Third Proportional to 459,392,848.50 and 706,120,026.75

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Solution

The third proportional to 459,392,848.50 and 706,120,026.75 is: 1,085,357,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,392,848.50 : 706,120,026.75 = 706,120,026.75 : x
  2. Step 2: Convert to fraction form
    459,392,848.50/706,120,026.75 = 706,120,026.75/x
  3. Step 3: Cross multiply
    459,392,848.50x = 706,120,026.75 × 706,120,026.75
  4. Step 4: Simplify right side
    459,392,848.50x = 498,605,492,177,420,736
  5. Step 5: Solve for x
    x = 498,605,492,177,420,736/459,392,848.50
  6. Step 6: Final answer
    x = 1,085,357,540.51

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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.