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Finding the Third Proportional to 841,194 and 1,824,363

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Solution

The third proportional to 841,194 and 1,824,363 is: 3,956,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,194 : 1,824,363 = 1,824,363 : x
  2. Step 2: Convert to fraction form
    841,194/1,824,363 = 1,824,363/x
  3. Step 3: Cross multiply
    841,194x = 1,824,363 × 1,824,363
  4. Step 4: Simplify right side
    841,194x = 3,328,300,355,769
  5. Step 5: Solve for x
    x = 3,328,300,355,769/841,194
  6. Step 6: Final answer
    x = 3,956,638.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.