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Finding the Third Proportional to 423,458,022 and 917,265,544

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Solution

The third proportional to 423,458,022 and 917,265,544 is: 1,986,917,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,458,022 : 917,265,544 = 917,265,544 : x
  2. Step 2: Convert to fraction form
    423,458,022/917,265,544 = 917,265,544/x
  3. Step 3: Cross multiply
    423,458,022x = 917,265,544 × 917,265,544
  4. Step 4: Simplify right side
    423,458,022x = 841,376,078,209,615,872
  5. Step 5: Solve for x
    x = 841,376,078,209,615,872/423,458,022
  6. Step 6: Final answer
    x = 1,986,917,320.01

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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.