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Finding the Third Proportional to 556,137 and 1,214,211

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Solution

The third proportional to 556,137 and 1,214,211 is: 2,650,980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,137 : 1,214,211 = 1,214,211 : x
  2. Step 2: Convert to fraction form
    556,137/1,214,211 = 1,214,211/x
  3. Step 3: Cross multiply
    556,137x = 1,214,211 × 1,214,211
  4. Step 4: Simplify right side
    556,137x = 1,474,308,352,521
  5. Step 5: Solve for x
    x = 1,474,308,352,521/556,137
  6. Step 6: Final answer
    x = 2,650,980.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.