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Finding the Third Proportional to 594,757,947 and 1,288,346,262

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Solution

The third proportional to 594,757,947 and 1,288,346,262 is: 2,790,775,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,757,947 : 1,288,346,262 = 1,288,346,262 : x
  2. Step 2: Convert to fraction form
    594,757,947/1,288,346,262 = 1,288,346,262/x
  3. Step 3: Cross multiply
    594,757,947x = 1,288,346,262 × 1,288,346,262
  4. Step 4: Simplify right side
    594,757,947x = 1,659,836,090,809,372,672
  5. Step 5: Solve for x
    x = 1,659,836,090,809,372,672/594,757,947
  6. Step 6: Final answer
    x = 2,790,775,809.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.