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Finding the Third Proportional to 772,965 and 1,068,069

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Solution

The third proportional to 772,965 and 1,068,069 is: 1,475,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,965 : 1,068,069 = 1,068,069 : x
  2. Step 2: Convert to fraction form
    772,965/1,068,069 = 1,068,069/x
  3. Step 3: Cross multiply
    772,965x = 1,068,069 × 1,068,069
  4. Step 4: Simplify right side
    772,965x = 1,140,771,388,761
  5. Step 5: Solve for x
    x = 1,140,771,388,761/772,965
  6. Step 6: Final answer
    x = 1,475,838.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.