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Finding the Third Proportional to 464,850 and 1,007,946

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Solution

The third proportional to 464,850 and 1,007,946 is: 2,185,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,850 : 1,007,946 = 1,007,946 : x
  2. Step 2: Convert to fraction form
    464,850/1,007,946 = 1,007,946/x
  3. Step 3: Cross multiply
    464,850x = 1,007,946 × 1,007,946
  4. Step 4: Simplify right side
    464,850x = 1,015,955,138,916
  5. Step 5: Solve for x
    x = 1,015,955,138,916/464,850
  6. Step 6: Final answer
    x = 2,185,554.78

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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.