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Finding the Third Proportional to 1,166,602.50 and 2,426,324.63

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Solution

The third proportional to 1,166,602.50 and 2,426,324.63 is: 5,046,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,602.50 : 2,426,324.63 = 2,426,324.63 : x
  2. Step 2: Convert to fraction form
    1,166,602.50/2,426,324.63 = 2,426,324.63/x
  3. Step 3: Cross multiply
    1,166,602.50x = 2,426,324.63 × 2,426,324.63
  4. Step 4: Simplify right side
    1,166,602.50x = 5,887,051,185,881.39
  5. Step 5: Solve for x
    x = 5,887,051,185,881.39/1,166,602.50
  6. Step 6: Final answer
    x = 5,046,321.42

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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.