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Finding the Third Proportional to 1,564,004 and 3,407,932

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Solution

The third proportional to 1,564,004 and 3,407,932 is: 7,425,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,004 : 3,407,932 = 3,407,932 : x
  2. Step 2: Convert to fraction form
    1,564,004/3,407,932 = 3,407,932/x
  3. Step 3: Cross multiply
    1,564,004x = 3,407,932 × 3,407,932
  4. Step 4: Simplify right side
    1,564,004x = 11,614,000,516,624
  5. Step 5: Solve for x
    x = 11,614,000,516,624/1,564,004
  6. Step 6: Final answer
    x = 7,425,812.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.