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Finding the Third Proportional to 1,577,764 and 3,454,799

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Solution

The third proportional to 1,577,764 and 3,454,799 is: 7,564,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,764 : 3,454,799 = 3,454,799 : x
  2. Step 2: Convert to fraction form
    1,577,764/3,454,799 = 3,454,799/x
  3. Step 3: Cross multiply
    1,577,764x = 3,454,799 × 3,454,799
  4. Step 4: Simplify right side
    1,577,764x = 11,935,636,130,401
  5. Step 5: Solve for x
    x = 11,935,636,130,401/1,577,764
  6. Step 6: Final answer
    x = 7,564,905.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.