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Finding the Third Proportional to 666,335 and 974,512

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Solution

The third proportional to 666,335 and 974,512 is: 1,425,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,335 : 974,512 = 974,512 : x
  2. Step 2: Convert to fraction form
    666,335/974,512 = 974,512/x
  3. Step 3: Cross multiply
    666,335x = 974,512 × 974,512
  4. Step 4: Simplify right side
    666,335x = 949,673,638,144
  5. Step 5: Solve for x
    x = 949,673,638,144/666,335
  6. Step 6: Final answer
    x = 1,425,219.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.