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Finding the Third Proportional to 1,355,166 and 2,946,519

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Solution

The third proportional to 1,355,166 and 2,946,519 is: 6,406,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,166 : 2,946,519 = 2,946,519 : x
  2. Step 2: Convert to fraction form
    1,355,166/2,946,519 = 2,946,519/x
  3. Step 3: Cross multiply
    1,355,166x = 2,946,519 × 2,946,519
  4. Step 4: Simplify right side
    1,355,166x = 8,681,974,217,361
  5. Step 5: Solve for x
    x = 8,681,974,217,361/1,355,166
  6. Step 6: Final answer
    x = 6,406,576.18

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Why These Related Problems?

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