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Finding the Third Proportional to 874,416.09 and 1,286,618.34

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Solution

The third proportional to 874,416.09 and 1,286,618.34 is: 1,893,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,416.09 : 1,286,618.34 = 1,286,618.34 : x
  2. Step 2: Convert to fraction form
    874,416.09/1,286,618.34 = 1,286,618.34/x
  3. Step 3: Cross multiply
    874,416.09x = 1,286,618.34 × 1,286,618.34
  4. Step 4: Simplify right side
    874,416.09x = 1,655,386,762,473.99
  5. Step 5: Solve for x
    x = 1,655,386,762,473.99/874,416.09
  6. Step 6: Final answer
    x = 1,893,133.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.