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Finding the Third Proportional to 976,104 and 2,076,624

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Solution

The third proportional to 976,104 and 2,076,624 is: 4,417,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,104 : 2,076,624 = 2,076,624 : x
  2. Step 2: Convert to fraction form
    976,104/2,076,624 = 2,076,624/x
  3. Step 3: Cross multiply
    976,104x = 2,076,624 × 2,076,624
  4. Step 4: Simplify right side
    976,104x = 4,312,367,237,376
  5. Step 5: Solve for x
    x = 4,312,367,237,376/976,104
  6. Step 6: Final answer
    x = 4,417,938.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.