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Finding the Third Proportional to 654,834 and 1,410,428

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Solution

The third proportional to 654,834 and 1,410,428 is: 3,037,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,834 : 1,410,428 = 1,410,428 : x
  2. Step 2: Convert to fraction form
    654,834/1,410,428 = 1,410,428/x
  3. Step 3: Cross multiply
    654,834x = 1,410,428 × 1,410,428
  4. Step 4: Simplify right side
    654,834x = 1,989,307,143,184
  5. Step 5: Solve for x
    x = 1,989,307,143,184/654,834
  6. Step 6: Final answer
    x = 3,037,880.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.