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Finding the Third Proportional to 819,927 and 1,146,541.50

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Solution

The third proportional to 819,927 and 1,146,541.50 is: 1,603,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,927 : 1,146,541.50 = 1,146,541.50 : x
  2. Step 2: Convert to fraction form
    819,927/1,146,541.50 = 1,146,541.50/x
  3. Step 3: Cross multiply
    819,927x = 1,146,541.50 × 1,146,541.50
  4. Step 4: Simplify right side
    819,927x = 1,314,557,411,222.25
  5. Step 5: Solve for x
    x = 1,314,557,411,222.25/819,927
  6. Step 6: Final answer
    x = 1,603,261.52

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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.