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Finding the Third Proportional to 783,476 and 1,698,660

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Solution

The third proportional to 783,476 and 1,698,660 is: 3,682,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,476 : 1,698,660 = 1,698,660 : x
  2. Step 2: Convert to fraction form
    783,476/1,698,660 = 1,698,660/x
  3. Step 3: Cross multiply
    783,476x = 1,698,660 × 1,698,660
  4. Step 4: Simplify right side
    783,476x = 2,885,445,795,600
  5. Step 5: Solve for x
    x = 2,885,445,795,600/783,476
  6. Step 6: Final answer
    x = 3,682,877.07

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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.