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Finding the Third Proportional to 909,212 and 1,363,818

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Solution

The third proportional to 909,212 and 1,363,818 is: 2,045,727

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,212 : 1,363,818 = 1,363,818 : x
  2. Step 2: Convert to fraction form
    909,212/1,363,818 = 1,363,818/x
  3. Step 3: Cross multiply
    909,212x = 1,363,818 × 1,363,818
  4. Step 4: Simplify right side
    909,212x = 1,859,999,537,124
  5. Step 5: Solve for x
    x = 1,859,999,537,124/909,212
  6. Step 6: Final answer
    x = 2,045,727

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.