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Finding the Third Proportional to 901,585,038 and 1,359,472,608

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Solution

The third proportional to 901,585,038 and 1,359,472,608 is: 2,049,907,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,585,038 : 1,359,472,608 = 1,359,472,608 : x
  2. Step 2: Convert to fraction form
    901,585,038/1,359,472,608 = 1,359,472,608/x
  3. Step 3: Cross multiply
    901,585,038x = 1,359,472,608 × 1,359,472,608
  4. Step 4: Simplify right side
    901,585,038x = 1,848,165,771,902,321,664
  5. Step 5: Solve for x
    x = 1,848,165,771,902,321,664/901,585,038
  6. Step 6: Final answer
    x = 2,049,907,323.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.