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Finding the Third Proportional to 830,527.50 and 1,811,130

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Solution

The third proportional to 830,527.50 and 1,811,130 is: 3,949,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,527.50 : 1,811,130 = 1,811,130 : x
  2. Step 2: Convert to fraction form
    830,527.50/1,811,130 = 1,811,130/x
  3. Step 3: Cross multiply
    830,527.50x = 1,811,130 × 1,811,130
  4. Step 4: Simplify right side
    830,527.50x = 3,280,191,876,900
  5. Step 5: Solve for x
    x = 3,280,191,876,900/830,527.50
  6. Step 6: Final answer
    x = 3,949,528.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.