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Finding the Third Proportional to 1,676,464 and 3,430,400

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Solution

The third proportional to 1,676,464 and 3,430,400 is: 7,019,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,464 : 3,430,400 = 3,430,400 : x
  2. Step 2: Convert to fraction form
    1,676,464/3,430,400 = 3,430,400/x
  3. Step 3: Cross multiply
    1,676,464x = 3,430,400 × 3,430,400
  4. Step 4: Simplify right side
    1,676,464x = 11,767,644,160,000
  5. Step 5: Solve for x
    x = 11,767,644,160,000/1,676,464
  6. Step 6: Final answer
    x = 7,019,324.10

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.