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Finding the Third Proportional to 1,877,470 and 3,854,469

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Solution

The third proportional to 1,877,470 and 3,854,469 is: 7,913,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877,470 : 3,854,469 = 3,854,469 : x
  2. Step 2: Convert to fraction form
    1,877,470/3,854,469 = 3,854,469/x
  3. Step 3: Cross multiply
    1,877,470x = 3,854,469 × 3,854,469
  4. Step 4: Simplify right side
    1,877,470x = 14,856,931,271,961
  5. Step 5: Solve for x
    x = 14,856,931,271,961/1,877,470
  6. Step 6: Final answer
    x = 7,913,272.26

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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.