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Finding the Third Proportional to 1,009,855.69 and 2,209,737.38

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Solution

The third proportional to 1,009,855.69 and 2,209,737.38 is: 4,835,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,855.69 : 2,209,737.38 = 2,209,737.38 : x
  2. Step 2: Convert to fraction form
    1,009,855.69/2,209,737.38 = 2,209,737.38/x
  3. Step 3: Cross multiply
    1,009,855.69x = 2,209,737.38 × 2,209,737.38
  4. Step 4: Simplify right side
    1,009,855.69x = 4,882,939,266,471.89
  5. Step 5: Solve for x
    x = 4,882,939,266,471.89/1,009,855.69
  6. Step 6: Final answer
    x = 4,835,284.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.