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Finding the Third Proportional to 831,968 and 1,316,266

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Solution

The third proportional to 831,968 and 1,316,266 is: 2,082,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,968 : 1,316,266 = 1,316,266 : x
  2. Step 2: Convert to fraction form
    831,968/1,316,266 = 1,316,266/x
  3. Step 3: Cross multiply
    831,968x = 1,316,266 × 1,316,266
  4. Step 4: Simplify right side
    831,968x = 1,732,556,182,756
  5. Step 5: Solve for x
    x = 1,732,556,182,756/831,968
  6. Step 6: Final answer
    x = 2,082,479.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.