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Finding the Third Proportional to 470,155 and 1,019,042

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Solution

The third proportional to 470,155 and 1,019,042 is: 2,208,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,155 : 1,019,042 = 1,019,042 : x
  2. Step 2: Convert to fraction form
    470,155/1,019,042 = 1,019,042/x
  3. Step 3: Cross multiply
    470,155x = 1,019,042 × 1,019,042
  4. Step 4: Simplify right side
    470,155x = 1,038,446,597,764
  5. Step 5: Solve for x
    x = 1,038,446,597,764/470,155
  6. Step 6: Final answer
    x = 2,208,732.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.