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Finding the Third Proportional to 758,128 and 1,634,344

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Solution

The third proportional to 758,128 and 1,634,344 is: 3,523,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,128 : 1,634,344 = 1,634,344 : x
  2. Step 2: Convert to fraction form
    758,128/1,634,344 = 1,634,344/x
  3. Step 3: Cross multiply
    758,128x = 1,634,344 × 1,634,344
  4. Step 4: Simplify right side
    758,128x = 2,671,080,310,336
  5. Step 5: Solve for x
    x = 2,671,080,310,336/758,128
  6. Step 6: Final answer
    x = 3,523,257.70

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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.