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Finding the Third Proportional to 630,740 and 952,671

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Solution

The third proportional to 630,740 and 952,671 is: 1,438,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,740 : 952,671 = 952,671 : x
  2. Step 2: Convert to fraction form
    630,740/952,671 = 952,671/x
  3. Step 3: Cross multiply
    630,740x = 952,671 × 952,671
  4. Step 4: Simplify right side
    630,740x = 907,582,034,241
  5. Step 5: Solve for x
    x = 907,582,034,241/630,740
  6. Step 6: Final answer
    x = 1,438,916.25

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Why These Related Problems?

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