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Finding the Third Proportional to 686,271 and 990,037.50

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Solution

The third proportional to 686,271 and 990,037.50 is: 1,428,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,271 : 990,037.50 = 990,037.50 : x
  2. Step 2: Convert to fraction form
    686,271/990,037.50 = 990,037.50/x
  3. Step 3: Cross multiply
    686,271x = 990,037.50 × 990,037.50
  4. Step 4: Simplify right side
    686,271x = 980,174,251,406.25
  5. Step 5: Solve for x
    x = 980,174,251,406.25/686,271
  6. Step 6: Final answer
    x = 1,428,261.21

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.