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Finding the Third Proportional to 3,406,000 and 5,676,432

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Solution

The third proportional to 3,406,000 and 5,676,432 is: 9,460,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406,000 : 5,676,432 = 5,676,432 : x
  2. Step 2: Convert to fraction form
    3,406,000/5,676,432 = 5,676,432/x
  3. Step 3: Cross multiply
    3,406,000x = 5,676,432 × 5,676,432
  4. Step 4: Simplify right side
    3,406,000x = 32,221,880,250,624
  5. Step 5: Solve for x
    x = 32,221,880,250,624/3,406,000
  6. Step 6: Final answer
    x = 9,460,328.91

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.