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Finding the Third Proportional to 473,412 and 974,692

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Solution

The third proportional to 473,412 and 974,692 is: 2,006,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,412 : 974,692 = 974,692 : x
  2. Step 2: Convert to fraction form
    473,412/974,692 = 974,692/x
  3. Step 3: Cross multiply
    473,412x = 974,692 × 974,692
  4. Step 4: Simplify right side
    473,412x = 950,024,494,864
  5. Step 5: Solve for x
    x = 950,024,494,864/473,412
  6. Step 6: Final answer
    x = 2,006,760.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.