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Finding the Third Proportional to 1,478,413.13 and 2,161,492.88

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Solution

The third proportional to 1,478,413.13 and 2,161,492.88 is: 3,160,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,413.13 : 2,161,492.88 = 2,161,492.88 : x
  2. Step 2: Convert to fraction form
    1,478,413.13/2,161,492.88 = 2,161,492.88/x
  3. Step 3: Cross multiply
    1,478,413.13x = 2,161,492.88 × 2,161,492.88
  4. Step 4: Simplify right side
    1,478,413.13x = 4,672,051,448,675.77
  5. Step 5: Solve for x
    x = 4,672,051,448,675.77/1,478,413.13
  6. Step 6: Final answer
    x = 3,160,179.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.