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Finding the Third Proportional to 500,220 and 1,095,309

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Solution

The third proportional to 500,220 and 1,095,309 is: 2,398,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,220 : 1,095,309 = 1,095,309 : x
  2. Step 2: Convert to fraction form
    500,220/1,095,309 = 1,095,309/x
  3. Step 3: Cross multiply
    500,220x = 1,095,309 × 1,095,309
  4. Step 4: Simplify right side
    500,220x = 1,199,701,805,481
  5. Step 5: Solve for x
    x = 1,199,701,805,481/500,220
  6. Step 6: Final answer
    x = 2,398,348.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.