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Finding the Third Proportional to 491,413.50 and 1,069,362

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Solution

The third proportional to 491,413.50 and 1,069,362 is: 2,327,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,413.50 : 1,069,362 = 1,069,362 : x
  2. Step 2: Convert to fraction form
    491,413.50/1,069,362 = 1,069,362/x
  3. Step 3: Cross multiply
    491,413.50x = 1,069,362 × 1,069,362
  4. Step 4: Simplify right side
    491,413.50x = 1,143,535,087,044
  5. Step 5: Solve for x
    x = 1,143,535,087,044/491,413.50
  6. Step 6: Final answer
    x = 2,327,032.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.