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Finding the Third Proportional to 749,170 and 1,618,047

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Solution

The third proportional to 749,170 and 1,618,047 is: 3,494,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,170 : 1,618,047 = 1,618,047 : x
  2. Step 2: Convert to fraction form
    749,170/1,618,047 = 1,618,047/x
  3. Step 3: Cross multiply
    749,170x = 1,618,047 × 1,618,047
  4. Step 4: Simplify right side
    749,170x = 2,618,076,094,209
  5. Step 5: Solve for x
    x = 2,618,076,094,209/749,170
  6. Step 6: Final answer
    x = 3,494,635.52

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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.