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Finding the Third Proportional to 1,365,967.13 and 2,004,663.94

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Solution

The third proportional to 1,365,967.13 and 2,004,663.94 is: 2,942,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,967.13 : 2,004,663.94 = 2,004,663.94 : x
  2. Step 2: Convert to fraction form
    1,365,967.13/2,004,663.94 = 2,004,663.94/x
  3. Step 3: Cross multiply
    1,365,967.13x = 2,004,663.94 × 2,004,663.94
  4. Step 4: Simplify right side
    1,365,967.13x = 4,018,677,502,313.00
  5. Step 5: Solve for x
    x = 4,018,677,502,313.00/1,365,967.13
  6. Step 6: Final answer
    x = 2,942,001.63

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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.