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Finding the Third Proportional to 1,477,758 and 3,181,516

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Solution

The third proportional to 1,477,758 and 3,181,516 is: 6,849,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,758 : 3,181,516 = 3,181,516 : x
  2. Step 2: Convert to fraction form
    1,477,758/3,181,516 = 3,181,516/x
  3. Step 3: Cross multiply
    1,477,758x = 3,181,516 × 3,181,516
  4. Step 4: Simplify right side
    1,477,758x = 10,122,044,058,256
  5. Step 5: Solve for x
    x = 10,122,044,058,256/1,477,758
  6. Step 6: Final answer
    x = 6,849,595.17

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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.