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Finding the Third Proportional to 410,483 and 882,094

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Solution

The third proportional to 410,483 and 882,094 is: 1,895,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,483 : 882,094 = 882,094 : x
  2. Step 2: Convert to fraction form
    410,483/882,094 = 882,094/x
  3. Step 3: Cross multiply
    410,483x = 882,094 × 882,094
  4. Step 4: Simplify right side
    410,483x = 778,089,824,836
  5. Step 5: Solve for x
    x = 778,089,824,836/410,483
  6. Step 6: Final answer
    x = 1,895,547.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.