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Finding the Third Proportional to 1,470,195.98 and 3,184,693.10

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Solution

The third proportional to 1,470,195.98 and 3,184,693.10 is: 6,898,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,195.98 : 3,184,693.10 = 3,184,693.10 : x
  2. Step 2: Convert to fraction form
    1,470,195.98/3,184,693.10 = 3,184,693.10/x
  3. Step 3: Cross multiply
    1,470,195.98x = 3,184,693.10 × 3,184,693.10
  4. Step 4: Simplify right side
    1,470,195.98x = 10,142,270,123,149.51
  5. Step 5: Solve for x
    x = 10,142,270,123,149.51/1,470,195.98
  6. Step 6: Final answer
    x = 6,898,583.78

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Why These Related Problems?

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