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Finding the Third Proportional to 410,944 and 882,998

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Solution

The third proportional to 410,944 and 882,998 is: 1,897,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,944 : 882,998 = 882,998 : x
  2. Step 2: Convert to fraction form
    410,944/882,998 = 882,998/x
  3. Step 3: Cross multiply
    410,944x = 882,998 × 882,998
  4. Step 4: Simplify right side
    410,944x = 779,685,468,004
  5. Step 5: Solve for x
    x = 779,685,468,004/410,944
  6. Step 6: Final answer
    x = 1,897,303.45

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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.