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Finding the Third Proportional to 837,822 and 1,808,466

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Solution

The third proportional to 837,822 and 1,808,466 is: 3,903,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,822 : 1,808,466 = 1,808,466 : x
  2. Step 2: Convert to fraction form
    837,822/1,808,466 = 1,808,466/x
  3. Step 3: Cross multiply
    837,822x = 1,808,466 × 1,808,466
  4. Step 4: Simplify right side
    837,822x = 3,270,549,273,156
  5. Step 5: Solve for x
    x = 3,270,549,273,156/837,822
  6. Step 6: Final answer
    x = 3,903,632.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.