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Finding the Third Proportional to 947,492 and 1,457,832

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Solution

The third proportional to 947,492 and 1,457,832 is: 2,243,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,492 : 1,457,832 = 1,457,832 : x
  2. Step 2: Convert to fraction form
    947,492/1,457,832 = 1,457,832/x
  3. Step 3: Cross multiply
    947,492x = 1,457,832 × 1,457,832
  4. Step 4: Simplify right side
    947,492x = 2,125,274,140,224
  5. Step 5: Solve for x
    x = 2,125,274,140,224/947,492
  6. Step 6: Final answer
    x = 2,243,052.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.