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Finding the Third Proportional to 4,503,774 and 6,971,082

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Solution

The third proportional to 4,503,774 and 6,971,082 is: 10,790,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503,774 : 6,971,082 = 6,971,082 : x
  2. Step 2: Convert to fraction form
    4,503,774/6,971,082 = 6,971,082/x
  3. Step 3: Cross multiply
    4,503,774x = 6,971,082 × 6,971,082
  4. Step 4: Simplify right side
    4,503,774x = 48,595,984,250,724
  5. Step 5: Solve for x
    x = 48,595,984,250,724/4,503,774
  6. Step 6: Final answer
    x = 10,790,058.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.