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Finding the Third Proportional to 2,093,316 and 4,507,386.75

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Solution

The third proportional to 2,093,316 and 4,507,386.75 is: 9,705,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093,316 : 4,507,386.75 = 4,507,386.75 : x
  2. Step 2: Convert to fraction form
    2,093,316/4,507,386.75 = 4,507,386.75/x
  3. Step 3: Cross multiply
    2,093,316x = 4,507,386.75 × 4,507,386.75
  4. Step 4: Simplify right side
    2,093,316x = 20,316,535,314,075.56
  5. Step 5: Solve for x
    x = 20,316,535,314,075.56/2,093,316
  6. Step 6: Final answer
    x = 9,705,431.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.