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Finding the Third Proportional to 479,574 and 972,594

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Solution

The third proportional to 479,574 and 972,594 is: 1,972,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,574 : 972,594 = 972,594 : x
  2. Step 2: Convert to fraction form
    479,574/972,594 = 972,594/x
  3. Step 3: Cross multiply
    479,574x = 972,594 × 972,594
  4. Step 4: Simplify right side
    479,574x = 945,939,088,836
  5. Step 5: Solve for x
    x = 945,939,088,836/479,574
  6. Step 6: Final answer
    x = 1,972,456.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.