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Finding the Third Proportional to 841,446 and 1,811,196

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Solution

The third proportional to 841,446 and 1,811,196 is: 3,898,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,446 : 1,811,196 = 1,811,196 : x
  2. Step 2: Convert to fraction form
    841,446/1,811,196 = 1,811,196/x
  3. Step 3: Cross multiply
    841,446x = 1,811,196 × 1,811,196
  4. Step 4: Simplify right side
    841,446x = 3,280,430,950,416
  5. Step 5: Solve for x
    x = 3,280,430,950,416/841,446
  6. Step 6: Final answer
    x = 3,898,563.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.