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Finding the Third Proportional to 809,678 and 1,210,056

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Solution

The third proportional to 809,678 and 1,210,056 is: 1,808,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,678 : 1,210,056 = 1,210,056 : x
  2. Step 2: Convert to fraction form
    809,678/1,210,056 = 1,210,056/x
  3. Step 3: Cross multiply
    809,678x = 1,210,056 × 1,210,056
  4. Step 4: Simplify right side
    809,678x = 1,464,235,523,136
  5. Step 5: Solve for x
    x = 1,464,235,523,136/809,678
  6. Step 6: Final answer
    x = 1,808,417.08

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