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Finding the Third Proportional to 1,471,114 and 3,174,460

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Solution

The third proportional to 1,471,114 and 3,174,460 is: 6,850,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,114 : 3,174,460 = 3,174,460 : x
  2. Step 2: Convert to fraction form
    1,471,114/3,174,460 = 3,174,460/x
  3. Step 3: Cross multiply
    1,471,114x = 3,174,460 × 3,174,460
  4. Step 4: Simplify right side
    1,471,114x = 10,077,196,291,600
  5. Step 5: Solve for x
    x = 10,077,196,291,600/1,471,114
  6. Step 6: Final answer
    x = 6,850,044.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.