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Finding the Third Proportional to 798,946 and 1,123,778

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Solution

The third proportional to 798,946 and 1,123,778 is: 1,580,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,946 : 1,123,778 = 1,123,778 : x
  2. Step 2: Convert to fraction form
    798,946/1,123,778 = 1,123,778/x
  3. Step 3: Cross multiply
    798,946x = 1,123,778 × 1,123,778
  4. Step 4: Simplify right side
    798,946x = 1,262,876,993,284
  5. Step 5: Solve for x
    x = 1,262,876,993,284/798,946
  6. Step 6: Final answer
    x = 1,580,678.79

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.