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Finding the Third Proportional to 564,030 and 1,239,678

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Solution

The third proportional to 564,030 and 1,239,678 is: 2,724,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,030 : 1,239,678 = 1,239,678 : x
  2. Step 2: Convert to fraction form
    564,030/1,239,678 = 1,239,678/x
  3. Step 3: Cross multiply
    564,030x = 1,239,678 × 1,239,678
  4. Step 4: Simplify right side
    564,030x = 1,536,801,543,684
  5. Step 5: Solve for x
    x = 1,536,801,543,684/564,030
  6. Step 6: Final answer
    x = 2,724,680.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.