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Finding the Third Proportional to 459,392,967 and 706,120,204.50

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Solution

The third proportional to 459,392,967 and 706,120,204.50 is: 1,085,357,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,392,967 : 706,120,204.50 = 706,120,204.50 : x
  2. Step 2: Convert to fraction form
    459,392,967/706,120,204.50 = 706,120,204.50/x
  3. Step 3: Cross multiply
    459,392,967x = 706,120,204.50 × 706,120,204.50
  4. Step 4: Simplify right side
    459,392,967x = 498,605,743,203,121,792
  5. Step 5: Solve for x
    x = 498,605,743,203,121,792/459,392,967
  6. Step 6: Final answer
    x = 1,085,357,806.98

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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.