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Finding the Third Proportional to 632,190 and 944,541

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Solution

The third proportional to 632,190 and 944,541 is: 1,411,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,190 : 944,541 = 944,541 : x
  2. Step 2: Convert to fraction form
    632,190/944,541 = 944,541/x
  3. Step 3: Cross multiply
    632,190x = 944,541 × 944,541
  4. Step 4: Simplify right side
    632,190x = 892,157,700,681
  5. Step 5: Solve for x
    x = 892,157,700,681/632,190
  6. Step 6: Final answer
    x = 1,411,217.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.