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Finding the Third Proportional to 848,641 and 1,830,143

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Solution

The third proportional to 848,641 and 1,830,143 is: 3,946,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,641 : 1,830,143 = 1,830,143 : x
  2. Step 2: Convert to fraction form
    848,641/1,830,143 = 1,830,143/x
  3. Step 3: Cross multiply
    848,641x = 1,830,143 × 1,830,143
  4. Step 4: Simplify right side
    848,641x = 3,349,423,400,449
  5. Step 5: Solve for x
    x = 3,349,423,400,449/848,641
  6. Step 6: Final answer
    x = 3,946,808.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.