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Finding the Third Proportional to 809,698 and 1,210,086

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Solution

The third proportional to 809,698 and 1,210,086 is: 1,808,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,698 : 1,210,086 = 1,210,086 : x
  2. Step 2: Convert to fraction form
    809,698/1,210,086 = 1,210,086/x
  3. Step 3: Cross multiply
    809,698x = 1,210,086 × 1,210,086
  4. Step 4: Simplify right side
    809,698x = 1,464,308,127,396
  5. Step 5: Solve for x
    x = 1,464,308,127,396/809,698
  6. Step 6: Final answer
    x = 1,808,462.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.