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Finding the Third Proportional to 401,836 and 859,598

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Solution

The third proportional to 401,836 and 859,598 is: 1,838,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,836 : 859,598 = 859,598 : x
  2. Step 2: Convert to fraction form
    401,836/859,598 = 859,598/x
  3. Step 3: Cross multiply
    401,836x = 859,598 × 859,598
  4. Step 4: Simplify right side
    401,836x = 738,908,721,604
  5. Step 5: Solve for x
    x = 738,908,721,604/401,836
  6. Step 6: Final answer
    x = 1,838,831.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.