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Finding the Third Proportional to 488,205 and 1,028,898

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Solution

The third proportional to 488,205 and 1,028,898 is: 2,168,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,205 : 1,028,898 = 1,028,898 : x
  2. Step 2: Convert to fraction form
    488,205/1,028,898 = 1,028,898/x
  3. Step 3: Cross multiply
    488,205x = 1,028,898 × 1,028,898
  4. Step 4: Simplify right side
    488,205x = 1,058,631,094,404
  5. Step 5: Solve for x
    x = 1,058,631,094,404/488,205
  6. Step 6: Final answer
    x = 2,168,415.10

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.