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Finding the Third Proportional to 882,993 and 1,358,937

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Solution

The third proportional to 882,993 and 1,358,937 is: 2,091,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,993 : 1,358,937 = 1,358,937 : x
  2. Step 2: Convert to fraction form
    882,993/1,358,937 = 1,358,937/x
  3. Step 3: Cross multiply
    882,993x = 1,358,937 × 1,358,937
  4. Step 4: Simplify right side
    882,993x = 1,846,709,769,969
  5. Step 5: Solve for x
    x = 1,846,709,769,969/882,993
  6. Step 6: Final answer
    x = 2,091,420.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.