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Finding the Third Proportional to 779,046 and 1,173,696

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Solution

The third proportional to 779,046 and 1,173,696 is: 1,768,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,046 : 1,173,696 = 1,173,696 : x
  2. Step 2: Convert to fraction form
    779,046/1,173,696 = 1,173,696/x
  3. Step 3: Cross multiply
    779,046x = 1,173,696 × 1,173,696
  4. Step 4: Simplify right side
    779,046x = 1,377,562,300,416
  5. Step 5: Solve for x
    x = 1,377,562,300,416/779,046
  6. Step 6: Final answer
    x = 1,768,268.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.