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Finding the Third Proportional to 594,157 and 1,283,014

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Solution

The third proportional to 594,157 and 1,283,014 is: 2,770,521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,157 : 1,283,014 = 1,283,014 : x
  2. Step 2: Convert to fraction form
    594,157/1,283,014 = 1,283,014/x
  3. Step 3: Cross multiply
    594,157x = 1,283,014 × 1,283,014
  4. Step 4: Simplify right side
    594,157x = 1,646,124,924,196
  5. Step 5: Solve for x
    x = 1,646,124,924,196/594,157
  6. Step 6: Final answer
    x = 2,770,521.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.