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Finding the Third Proportional to 594,140 and 1,237,240

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Solution

The third proportional to 594,140 and 1,237,240 is: 2,576,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,140 : 1,237,240 = 1,237,240 : x
  2. Step 2: Convert to fraction form
    594,140/1,237,240 = 1,237,240/x
  3. Step 3: Cross multiply
    594,140x = 1,237,240 × 1,237,240
  4. Step 4: Simplify right side
    594,140x = 1,530,762,817,600
  5. Step 5: Solve for x
    x = 1,530,762,817,600/594,140
  6. Step 6: Final answer
    x = 2,576,434.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.