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Finding the Third Proportional to 594,757,945 and 1,288,346,258

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Solution

The third proportional to 594,757,945 and 1,288,346,258 is: 2,790,775,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,757,945 : 1,288,346,258 = 1,288,346,258 : x
  2. Step 2: Convert to fraction form
    594,757,945/1,288,346,258 = 1,288,346,258/x
  3. Step 3: Cross multiply
    594,757,945x = 1,288,346,258 × 1,288,346,258
  4. Step 4: Simplify right side
    594,757,945x = 1,659,836,080,502,602,496
  5. Step 5: Solve for x
    x = 1,659,836,080,502,602,496/594,757,945
  6. Step 6: Final answer
    x = 2,790,775,801.24

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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.