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Finding the Third Proportional to 556,094 and 1,214,127

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Solution

The third proportional to 556,094 and 1,214,127 is: 2,650,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,094 : 1,214,127 = 1,214,127 : x
  2. Step 2: Convert to fraction form
    556,094/1,214,127 = 1,214,127/x
  3. Step 3: Cross multiply
    556,094x = 1,214,127 × 1,214,127
  4. Step 4: Simplify right side
    556,094x = 1,474,104,372,129
  5. Step 5: Solve for x
    x = 1,474,104,372,129/556,094
  6. Step 6: Final answer
    x = 2,650,818.70

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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.