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Finding the Third Proportional to 818,491 and 1,785,658

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Solution

The third proportional to 818,491 and 1,785,658 is: 3,895,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,491 : 1,785,658 = 1,785,658 : x
  2. Step 2: Convert to fraction form
    818,491/1,785,658 = 1,785,658/x
  3. Step 3: Cross multiply
    818,491x = 1,785,658 × 1,785,658
  4. Step 4: Simplify right side
    818,491x = 3,188,574,492,964
  5. Step 5: Solve for x
    x = 3,188,574,492,964/818,491
  6. Step 6: Final answer
    x = 3,895,674.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.