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Finding the Third Proportional to 470,643 and 969,139.50

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Solution

The third proportional to 470,643 and 969,139.50 is: 1,995,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,643 : 969,139.50 = 969,139.50 : x
  2. Step 2: Convert to fraction form
    470,643/969,139.50 = 969,139.50/x
  3. Step 3: Cross multiply
    470,643x = 969,139.50 × 969,139.50
  4. Step 4: Simplify right side
    470,643x = 939,231,370,460.25
  5. Step 5: Solve for x
    x = 939,231,370,460.25/470,643
  6. Step 6: Final answer
    x = 1,995,634.42

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