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Finding the Third Proportional to 594,357,822 and 900,512,172

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Solution

The third proportional to 594,357,822 and 900,512,172 is: 1,364,366,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,357,822 : 900,512,172 = 900,512,172 : x
  2. Step 2: Convert to fraction form
    594,357,822/900,512,172 = 900,512,172/x
  3. Step 3: Cross multiply
    594,357,822x = 900,512,172 × 900,512,172
  4. Step 4: Simplify right side
    594,357,822x = 810,922,171,920,157,568
  5. Step 5: Solve for x
    x = 810,922,171,920,157,568/594,357,822
  6. Step 6: Final answer
    x = 1,364,366,955.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.