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Finding the Third Proportional to 1,676,470 and 3,430,412

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Solution

The third proportional to 1,676,470 and 3,430,412 is: 7,019,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,470 : 3,430,412 = 3,430,412 : x
  2. Step 2: Convert to fraction form
    1,676,470/3,430,412 = 3,430,412/x
  3. Step 3: Cross multiply
    1,676,470x = 3,430,412 × 3,430,412
  4. Step 4: Simplify right side
    1,676,470x = 11,767,726,489,744
  5. Step 5: Solve for x
    x = 11,767,726,489,744/1,676,470
  6. Step 6: Final answer
    x = 7,019,348.09

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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.