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Finding the Third Proportional to 664,152 and 1,037,700

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Solution

The third proportional to 664,152 and 1,037,700 is: 1,621,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,152 : 1,037,700 = 1,037,700 : x
  2. Step 2: Convert to fraction form
    664,152/1,037,700 = 1,037,700/x
  3. Step 3: Cross multiply
    664,152x = 1,037,700 × 1,037,700
  4. Step 4: Simplify right side
    664,152x = 1,076,821,290,000
  5. Step 5: Solve for x
    x = 1,076,821,290,000/664,152
  6. Step 6: Final answer
    x = 1,621,347.66

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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.