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Finding the Third Proportional to 1,057,364,754 and 2,290,462,242

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Solution

The third proportional to 1,057,364,754 and 2,290,462,242 is: 4,961,596,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,364,754 : 2,290,462,242 = 2,290,462,242 : x
  2. Step 2: Convert to fraction form
    1,057,364,754/2,290,462,242 = 2,290,462,242/x
  3. Step 3: Cross multiply
    1,057,364,754x = 2,290,462,242 × 2,290,462,242
  4. Step 4: Simplify right side
    1,057,364,754x = 5,246,217,282,027,666,432
  5. Step 5: Solve for x
    x = 5,246,217,282,027,666,432/1,057,364,754
  6. Step 6: Final answer
    x = 4,961,596,518.31

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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.