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Finding the Third Proportional to 459,396,002 and 706,124,595

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Solution

The third proportional to 459,396,002 and 706,124,595 is: 1,085,364,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,396,002 : 706,124,595 = 706,124,595 : x
  2. Step 2: Convert to fraction form
    459,396,002/706,124,595 = 706,124,595/x
  3. Step 3: Cross multiply
    459,396,002x = 706,124,595 × 706,124,595
  4. Step 4: Simplify right side
    459,396,002x = 498,611,943,663,914,048
  5. Step 5: Solve for x
    x = 498,611,943,663,914,048/459,396,002
  6. Step 6: Final answer
    x = 1,085,364,133.54

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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.