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Finding the Third Proportional to 470,184 and 1,011,072

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Solution

The third proportional to 470,184 and 1,011,072 is: 2,174,184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,184 : 1,011,072 = 1,011,072 : x
  2. Step 2: Convert to fraction form
    470,184/1,011,072 = 1,011,072/x
  3. Step 3: Cross multiply
    470,184x = 1,011,072 × 1,011,072
  4. Step 4: Simplify right side
    470,184x = 1,022,266,589,184
  5. Step 5: Solve for x
    x = 1,022,266,589,184/470,184
  6. Step 6: Final answer
    x = 2,174,184.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.