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Finding the Third Proportional to 416,556,203 and 895,802,761

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Solution

The third proportional to 416,556,203 and 895,802,761 is: 1,926,420,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,556,203 : 895,802,761 = 895,802,761 : x
  2. Step 2: Convert to fraction form
    416,556,203/895,802,761 = 895,802,761/x
  3. Step 3: Cross multiply
    416,556,203x = 895,802,761 × 895,802,761
  4. Step 4: Simplify right side
    416,556,203x = 802,462,586,615,223,168
  5. Step 5: Solve for x
    x = 802,462,586,615,223,168/416,556,203
  6. Step 6: Final answer
    x = 1,926,420,926.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.