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Finding the Third Proportional to 666,341 and 974,520

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Solution

The third proportional to 666,341 and 974,520 is: 1,425,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,341 : 974,520 = 974,520 : x
  2. Step 2: Convert to fraction form
    666,341/974,520 = 974,520/x
  3. Step 3: Cross multiply
    666,341x = 974,520 × 974,520
  4. Step 4: Simplify right side
    666,341x = 949,689,230,400
  5. Step 5: Solve for x
    x = 949,689,230,400/666,341
  6. Step 6: Final answer
    x = 1,425,230.07

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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.