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Finding the Third Proportional to 1,290,593,186 and 1,983,734,643

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Solution

The third proportional to 1,290,593,186 and 1,983,734,643 is: 3,049,142,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,593,186 : 1,983,734,643 = 1,983,734,643 : x
  2. Step 2: Convert to fraction form
    1,290,593,186/1,983,734,643 = 1,983,734,643/x
  3. Step 3: Cross multiply
    1,290,593,186x = 1,983,734,643 × 1,983,734,643
  4. Step 4: Simplify right side
    1,290,593,186x = 3,935,203,133,838,337,536
  5. Step 5: Solve for x
    x = 3,935,203,133,838,337,536/1,290,593,186
  6. Step 6: Final answer
    x = 3,049,142,965.05

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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.