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Finding the Third Proportional to 572,724 and 1,293,966

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Solution

The third proportional to 572,724 and 1,293,966 is: 2,923,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,724 : 1,293,966 = 1,293,966 : x
  2. Step 2: Convert to fraction form
    572,724/1,293,966 = 1,293,966/x
  3. Step 3: Cross multiply
    572,724x = 1,293,966 × 1,293,966
  4. Step 4: Simplify right side
    572,724x = 1,674,348,009,156
  5. Step 5: Solve for x
    x = 1,674,348,009,156/572,724
  6. Step 6: Final answer
    x = 2,923,481.48

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.