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Finding the Third Proportional to 798,179 and 1,196,101

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Solution

The third proportional to 798,179 and 1,196,101 is: 1,792,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,179 : 1,196,101 = 1,196,101 : x
  2. Step 2: Convert to fraction form
    798,179/1,196,101 = 1,196,101/x
  3. Step 3: Cross multiply
    798,179x = 1,196,101 × 1,196,101
  4. Step 4: Simplify right side
    798,179x = 1,430,657,602,201
  5. Step 5: Solve for x
    x = 1,430,657,602,201/798,179
  6. Step 6: Final answer
    x = 1,792,401.96

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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.