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Finding the Third Proportional to 1,079,531,295 and 1,658,580,522

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Solution

The third proportional to 1,079,531,295 and 1,658,580,522 is: 2,548,225,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,531,295 : 1,658,580,522 = 1,658,580,522 : x
  2. Step 2: Convert to fraction form
    1,079,531,295/1,658,580,522 = 1,658,580,522/x
  3. Step 3: Cross multiply
    1,079,531,295x = 1,658,580,522 × 1,658,580,522
  4. Step 4: Simplify right side
    1,079,531,295x = 2,750,889,347,957,792,256
  5. Step 5: Solve for x
    x = 2,750,889,347,957,792,256/1,079,531,295
  6. Step 6: Final answer
    x = 2,548,225,661.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.