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Finding the Third Proportional to 577,192 and 1,237,328

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Solution

The third proportional to 577,192 and 1,237,328 is: 2,652,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,192 : 1,237,328 = 1,237,328 : x
  2. Step 2: Convert to fraction form
    577,192/1,237,328 = 1,237,328/x
  3. Step 3: Cross multiply
    577,192x = 1,237,328 × 1,237,328
  4. Step 4: Simplify right side
    577,192x = 1,530,980,579,584
  5. Step 5: Solve for x
    x = 1,530,980,579,584/577,192
  6. Step 6: Final answer
    x = 2,652,463.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.