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Finding the Third Proportional to 803,208 and 1,177,980

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Solution

The third proportional to 803,208 and 1,177,980 is: 1,727,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,208 : 1,177,980 = 1,177,980 : x
  2. Step 2: Convert to fraction form
    803,208/1,177,980 = 1,177,980/x
  3. Step 3: Cross multiply
    803,208x = 1,177,980 × 1,177,980
  4. Step 4: Simplify right side
    803,208x = 1,387,636,880,400
  5. Step 5: Solve for x
    x = 1,387,636,880,400/803,208
  6. Step 6: Final answer
    x = 1,727,618.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.