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Finding the Third Proportional to 882,463.50 and 1,242,684

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Solution

The third proportional to 882,463.50 and 1,242,684 is: 1,749,946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,463.50 : 1,242,684 = 1,242,684 : x
  2. Step 2: Convert to fraction form
    882,463.50/1,242,684 = 1,242,684/x
  3. Step 3: Cross multiply
    882,463.50x = 1,242,684 × 1,242,684
  4. Step 4: Simplify right side
    882,463.50x = 1,544,263,523,856
  5. Step 5: Solve for x
    x = 1,544,263,523,856/882,463.50
  6. Step 6: Final answer
    x = 1,749,946.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.