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Finding the Third Proportional to 1,470,347 and 3,184,963

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Solution

The third proportional to 1,470,347 and 3,184,963 is: 6,899,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,347 : 3,184,963 = 3,184,963 : x
  2. Step 2: Convert to fraction form
    1,470,347/3,184,963 = 3,184,963/x
  3. Step 3: Cross multiply
    1,470,347x = 3,184,963 × 3,184,963
  4. Step 4: Simplify right side
    1,470,347x = 10,143,989,311,369
  5. Step 5: Solve for x
    x = 10,143,989,311,369/1,470,347
  6. Step 6: Final answer
    x = 6,899,044.45

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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.