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Finding the Third Proportional to 664,158 and 1,037,709

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Solution

The third proportional to 664,158 and 1,037,709 is: 1,621,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,158 : 1,037,709 = 1,037,709 : x
  2. Step 2: Convert to fraction form
    664,158/1,037,709 = 1,037,709/x
  3. Step 3: Cross multiply
    664,158x = 1,037,709 × 1,037,709
  4. Step 4: Simplify right side
    664,158x = 1,076,839,968,681
  5. Step 5: Solve for x
    x = 1,076,839,968,681/664,158
  6. Step 6: Final answer
    x = 1,621,361.13

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.