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Finding the Third Proportional to 977,663.25 and 1,431,492.75

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Solution

The third proportional to 977,663.25 and 1,431,492.75 is: 2,095,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,663.25 : 1,431,492.75 = 1,431,492.75 : x
  2. Step 2: Convert to fraction form
    977,663.25/1,431,492.75 = 1,431,492.75/x
  3. Step 3: Cross multiply
    977,663.25x = 1,431,492.75 × 1,431,492.75
  4. Step 4: Simplify right side
    977,663.25x = 2,049,171,493,302.56
  5. Step 5: Solve for x
    x = 2,049,171,493,302.56/977,663.25
  6. Step 6: Final answer
    x = 2,095,989.08

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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.