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Finding the Third Proportional to 884,542.50 and 1,210,425.19

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Solution

The third proportional to 884,542.50 and 1,210,425.19 is: 1,656,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,542.50 : 1,210,425.19 = 1,210,425.19 : x
  2. Step 2: Convert to fraction form
    884,542.50/1,210,425.19 = 1,210,425.19/x
  3. Step 3: Cross multiply
    884,542.50x = 1,210,425.19 × 1,210,425.19
  4. Step 4: Simplify right side
    884,542.50x = 1,465,129,134,534.41
  5. Step 5: Solve for x
    x = 1,465,129,134,534.41/884,542.50
  6. Step 6: Final answer
    x = 1,656,369.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.