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Finding the Third Proportional to 410,023 and 899,007.50

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Solution

The third proportional to 410,023 and 899,007.50 is: 1,971,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,023 : 899,007.50 = 899,007.50 : x
  2. Step 2: Convert to fraction form
    410,023/899,007.50 = 899,007.50/x
  3. Step 3: Cross multiply
    410,023x = 899,007.50 × 899,007.50
  4. Step 4: Simplify right side
    410,023x = 808,214,485,056.25
  5. Step 5: Solve for x
    x = 808,214,485,056.25/410,023
  6. Step 6: Final answer
    x = 1,971,144.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.