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Finding the Third Proportional to 571,806 and 1,243,211

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Solution

The third proportional to 571,806 and 1,243,211 is: 2,702,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,806 : 1,243,211 = 1,243,211 : x
  2. Step 2: Convert to fraction form
    571,806/1,243,211 = 1,243,211/x
  3. Step 3: Cross multiply
    571,806x = 1,243,211 × 1,243,211
  4. Step 4: Simplify right side
    571,806x = 1,545,573,590,521
  5. Step 5: Solve for x
    x = 1,545,573,590,521/571,806
  6. Step 6: Final answer
    x = 2,702,968.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.