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Finding the Third Proportional to 841,320 and 1,824,592

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Solution

The third proportional to 841,320 and 1,824,592 is: 3,957,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,320 : 1,824,592 = 1,824,592 : x
  2. Step 2: Convert to fraction form
    841,320/1,824,592 = 1,824,592/x
  3. Step 3: Cross multiply
    841,320x = 1,824,592 × 1,824,592
  4. Step 4: Simplify right side
    841,320x = 3,329,135,966,464
  5. Step 5: Solve for x
    x = 3,329,135,966,464/841,320
  6. Step 6: Final answer
    x = 3,957,038.90

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