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Finding the Third Proportional to 1,524,946 and 2,243,043

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Solution

The third proportional to 1,524,946 and 2,243,043 is: 3,299,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,946 : 2,243,043 = 2,243,043 : x
  2. Step 2: Convert to fraction form
    1,524,946/2,243,043 = 2,243,043/x
  3. Step 3: Cross multiply
    1,524,946x = 2,243,043 × 2,243,043
  4. Step 4: Simplify right side
    1,524,946x = 5,031,241,899,849
  5. Step 5: Solve for x
    x = 5,031,241,899,849/1,524,946
  6. Step 6: Final answer
    x = 3,299,291.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.