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Finding the Third Proportional to 571,818 and 841,096

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Solution

The third proportional to 571,818 and 841,096 is: 1,237,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,818 : 841,096 = 841,096 : x
  2. Step 2: Convert to fraction form
    571,818/841,096 = 841,096/x
  3. Step 3: Cross multiply
    571,818x = 841,096 × 841,096
  4. Step 4: Simplify right side
    571,818x = 707,442,481,216
  5. Step 5: Solve for x
    x = 707,442,481,216/571,818
  6. Step 6: Final answer
    x = 1,237,181.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.