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Finding the Third Proportional to 909,180 and 1,346,184

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Solution

The third proportional to 909,180 and 1,346,184 is: 1,993,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,180 : 1,346,184 = 1,346,184 : x
  2. Step 2: Convert to fraction form
    909,180/1,346,184 = 1,346,184/x
  3. Step 3: Cross multiply
    909,180x = 1,346,184 × 1,346,184
  4. Step 4: Simplify right side
    909,180x = 1,812,211,361,856
  5. Step 5: Solve for x
    x = 1,812,211,361,856/909,180
  6. Step 6: Final answer
    x = 1,993,237.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.