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Finding the Third Proportional to 764,838 and 1,578,798

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Solution

The third proportional to 764,838 and 1,578,798 is: 3,258,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,838 : 1,578,798 = 1,578,798 : x
  2. Step 2: Convert to fraction form
    764,838/1,578,798 = 1,578,798/x
  3. Step 3: Cross multiply
    764,838x = 1,578,798 × 1,578,798
  4. Step 4: Simplify right side
    764,838x = 2,492,603,124,804
  5. Step 5: Solve for x
    x = 2,492,603,124,804/764,838
  6. Step 6: Final answer
    x = 3,258,994.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.