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Finding the Third Proportional to 935,830.13 and 1,916,004.38

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Solution

The third proportional to 935,830.13 and 1,916,004.38 is: 3,922,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,830.13 : 1,916,004.38 = 1,916,004.38 : x
  2. Step 2: Convert to fraction form
    935,830.13/1,916,004.38 = 1,916,004.38/x
  3. Step 3: Cross multiply
    935,830.13x = 1,916,004.38 × 1,916,004.38
  4. Step 4: Simplify right side
    935,830.13x = 3,671,072,765,019.14
  5. Step 5: Solve for x
    x = 3,671,072,765,019.14/935,830.13
  6. Step 6: Final answer
    x = 3,922,798.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.