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Finding the Third Proportional to 772,004 and 1,676,906

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Solution

The third proportional to 772,004 and 1,676,906 is: 3,642,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,004 : 1,676,906 = 1,676,906 : x
  2. Step 2: Convert to fraction form
    772,004/1,676,906 = 1,676,906/x
  3. Step 3: Cross multiply
    772,004x = 1,676,906 × 1,676,906
  4. Step 4: Simplify right side
    772,004x = 2,812,013,732,836
  5. Step 5: Solve for x
    x = 2,812,013,732,836/772,004
  6. Step 6: Final answer
    x = 3,642,485.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.