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Finding the Third Proportional to 803,106 and 1,291,491

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Solution

The third proportional to 803,106 and 1,291,491 is: 2,076,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,106 : 1,291,491 = 1,291,491 : x
  2. Step 2: Convert to fraction form
    803,106/1,291,491 = 1,291,491/x
  3. Step 3: Cross multiply
    803,106x = 1,291,491 × 1,291,491
  4. Step 4: Simplify right side
    803,106x = 1,667,949,003,081
  5. Step 5: Solve for x
    x = 1,667,949,003,081/803,106
  6. Step 6: Final answer
    x = 2,076,872.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.