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Finding the Third Proportional to 459,392,846 and 706,120,023

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Solution

The third proportional to 459,392,846 and 706,120,023 is: 1,085,357,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,392,846 : 706,120,023 = 706,120,023 : x
  2. Step 2: Convert to fraction form
    459,392,846/706,120,023 = 706,120,023/x
  3. Step 3: Cross multiply
    459,392,846x = 706,120,023 × 706,120,023
  4. Step 4: Simplify right side
    459,392,846x = 498,605,486,881,520,512
  5. Step 5: Solve for x
    x = 498,605,486,881,520,512/459,392,846
  6. Step 6: Final answer
    x = 1,085,357,534.89

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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.