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Finding the Third Proportional to 2,090,316 and 3,054,816

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Solution

The third proportional to 2,090,316 and 3,054,816 is: 4,464,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,316 : 3,054,816 = 3,054,816 : x
  2. Step 2: Convert to fraction form
    2,090,316/3,054,816 = 3,054,816/x
  3. Step 3: Cross multiply
    2,090,316x = 3,054,816 × 3,054,816
  4. Step 4: Simplify right side
    2,090,316x = 9,331,900,793,856
  5. Step 5: Solve for x
    x = 9,331,900,793,856/2,090,316
  6. Step 6: Final answer
    x = 4,464,349.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.