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Finding the Third Proportional to 1,456,320 and 2,184,480

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Solution

The third proportional to 1,456,320 and 2,184,480 is: 3,276,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,320 : 2,184,480 = 2,184,480 : x
  2. Step 2: Convert to fraction form
    1,456,320/2,184,480 = 2,184,480/x
  3. Step 3: Cross multiply
    1,456,320x = 2,184,480 × 2,184,480
  4. Step 4: Simplify right side
    1,456,320x = 4,771,952,870,400
  5. Step 5: Solve for x
    x = 4,771,952,870,400/1,456,320
  6. Step 6: Final answer
    x = 3,276,720

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.