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Finding the Third Proportional to 977,806 and 2,118,412

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Solution

The third proportional to 977,806 and 2,118,412 is: 4,589,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,806 : 2,118,412 = 2,118,412 : x
  2. Step 2: Convert to fraction form
    977,806/2,118,412 = 2,118,412/x
  3. Step 3: Cross multiply
    977,806x = 2,118,412 × 2,118,412
  4. Step 4: Simplify right side
    977,806x = 4,487,669,401,744
  5. Step 5: Solve for x
    x = 4,487,669,401,744/977,806
  6. Step 6: Final answer
    x = 4,589,529.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.