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Finding the Third Proportional to 459,396,069 and 706,124,913

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Solution

The third proportional to 459,396,069 and 706,124,913 is: 1,085,364,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,396,069 : 706,124,913 = 706,124,913 : x
  2. Step 2: Convert to fraction form
    459,396,069/706,124,913 = 706,124,913/x
  3. Step 3: Cross multiply
    459,396,069x = 706,124,913 × 706,124,913
  4. Step 4: Simplify right side
    459,396,069x = 498,612,392,759,257,600
  5. Step 5: Solve for x
    x = 498,612,392,759,257,600/459,396,069
  6. Step 6: Final answer
    x = 1,085,364,952.83

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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.