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Finding the Third Proportional to 1,365,949 and 2,004,636.50

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Solution

The third proportional to 1,365,949 and 2,004,636.50 is: 2,941,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,949 : 2,004,636.50 = 2,004,636.50 : x
  2. Step 2: Convert to fraction form
    1,365,949/2,004,636.50 = 2,004,636.50/x
  3. Step 3: Cross multiply
    1,365,949x = 2,004,636.50 × 2,004,636.50
  4. Step 4: Simplify right side
    1,365,949x = 4,018,567,497,132.25
  5. Step 5: Solve for x
    x = 4,018,567,497,132.25/1,365,949
  6. Step 6: Final answer
    x = 2,941,960.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.