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Finding the Third Proportional to 1,501,740 and 3,109,944.38

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Solution

The third proportional to 1,501,740 and 3,109,944.38 is: 6,440,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501,740 : 3,109,944.38 = 3,109,944.38 : x
  2. Step 2: Convert to fraction form
    1,501,740/3,109,944.38 = 3,109,944.38/x
  3. Step 3: Cross multiply
    1,501,740x = 3,109,944.38 × 3,109,944.38
  4. Step 4: Simplify right side
    1,501,740x = 9,671,754,015,594.14
  5. Step 5: Solve for x
    x = 9,671,754,015,594.14/1,501,740
  6. Step 6: Final answer
    x = 6,440,365.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.