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Finding the Third Proportional to 545,627 and 1,185,700

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Solution

The third proportional to 545,627 and 1,185,700 is: 2,576,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,627 : 1,185,700 = 1,185,700 : x
  2. Step 2: Convert to fraction form
    545,627/1,185,700 = 1,185,700/x
  3. Step 3: Cross multiply
    545,627x = 1,185,700 × 1,185,700
  4. Step 4: Simplify right side
    545,627x = 1,405,884,490,000
  5. Step 5: Solve for x
    x = 1,405,884,490,000/545,627
  6. Step 6: Final answer
    x = 2,576,640.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.