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Finding the Third Proportional to 1,292,597,694 and 2,047,111,175

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Solution

The third proportional to 1,292,597,694 and 2,047,111,175 is: 3,242,048,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,597,694 : 2,047,111,175 = 2,047,111,175 : x
  2. Step 2: Convert to fraction form
    1,292,597,694/2,047,111,175 = 2,047,111,175/x
  3. Step 3: Cross multiply
    1,292,597,694x = 2,047,111,175 × 2,047,111,175
  4. Step 4: Simplify right side
    1,292,597,694x = 4,190,664,162,809,880,576
  5. Step 5: Solve for x
    x = 4,190,664,162,809,880,576/1,292,597,694
  6. Step 6: Final answer
    x = 3,242,048,304.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.