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Finding the Third Proportional to 571,864 and 841,156

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Solution

The third proportional to 571,864 and 841,156 is: 1,237,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,864 : 841,156 = 841,156 : x
  2. Step 2: Convert to fraction form
    571,864/841,156 = 841,156/x
  3. Step 3: Cross multiply
    571,864x = 841,156 × 841,156
  4. Step 4: Simplify right side
    571,864x = 707,543,416,336
  5. Step 5: Solve for x
    x = 707,543,416,336/571,864
  6. Step 6: Final answer
    x = 1,237,258.19

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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.