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Finding the Third Proportional to 1,785,128 and 3,860,320

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Solution

The third proportional to 1,785,128 and 3,860,320 is: 8,347,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,128 : 3,860,320 = 3,860,320 : x
  2. Step 2: Convert to fraction form
    1,785,128/3,860,320 = 3,860,320/x
  3. Step 3: Cross multiply
    1,785,128x = 3,860,320 × 3,860,320
  4. Step 4: Simplify right side
    1,785,128x = 14,902,070,502,400
  5. Step 5: Solve for x
    x = 14,902,070,502,400/1,785,128
  6. Step 6: Final answer
    x = 8,347,900.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.