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Finding the Third Proportional to 728,680 and 1,018,971

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Solution

The third proportional to 728,680 and 1,018,971 is: 1,424,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,680 : 1,018,971 = 1,018,971 : x
  2. Step 2: Convert to fraction form
    728,680/1,018,971 = 1,018,971/x
  3. Step 3: Cross multiply
    728,680x = 1,018,971 × 1,018,971
  4. Step 4: Simplify right side
    728,680x = 1,038,301,898,841
  5. Step 5: Solve for x
    x = 1,038,301,898,841/728,680
  6. Step 6: Final answer
    x = 1,424,907.91

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.