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Finding the Third Proportional to 1,270,548 and 1,908,643

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Solution

The third proportional to 1,270,548 and 1,908,643 is: 2,867,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,548 : 1,908,643 = 1,908,643 : x
  2. Step 2: Convert to fraction form
    1,270,548/1,908,643 = 1,908,643/x
  3. Step 3: Cross multiply
    1,270,548x = 1,908,643 × 1,908,643
  4. Step 4: Simplify right side
    1,270,548x = 3,642,918,101,449
  5. Step 5: Solve for x
    x = 3,642,918,101,449/1,270,548
  6. Step 6: Final answer
    x = 2,867,202.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.