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Finding the Third Proportional to 584,210 and 1,273,636

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Solution

The third proportional to 584,210 and 1,273,636 is: 2,776,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,210 : 1,273,636 = 1,273,636 : x
  2. Step 2: Convert to fraction form
    584,210/1,273,636 = 1,273,636/x
  3. Step 3: Cross multiply
    584,210x = 1,273,636 × 1,273,636
  4. Step 4: Simplify right side
    584,210x = 1,622,148,660,496
  5. Step 5: Solve for x
    x = 1,622,148,660,496/584,210
  6. Step 6: Final answer
    x = 2,776,653.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.