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Finding the Third Proportional to 841,476 and 1,811,256

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Solution

The third proportional to 841,476 and 1,811,256 is: 3,898,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,476 : 1,811,256 = 1,811,256 : x
  2. Step 2: Convert to fraction form
    841,476/1,811,256 = 1,811,256/x
  3. Step 3: Cross multiply
    841,476x = 1,811,256 × 1,811,256
  4. Step 4: Simplify right side
    841,476x = 3,280,648,297,536
  5. Step 5: Solve for x
    x = 3,280,648,297,536/841,476
  6. Step 6: Final answer
    x = 3,898,683.14

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