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Finding the Third Proportional to 570,582 and 1,204,816.50

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Solution

The third proportional to 570,582 and 1,204,816.50 is: 2,544,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,582 : 1,204,816.50 = 1,204,816.50 : x
  2. Step 2: Convert to fraction form
    570,582/1,204,816.50 = 1,204,816.50/x
  3. Step 3: Cross multiply
    570,582x = 1,204,816.50 × 1,204,816.50
  4. Step 4: Simplify right side
    570,582x = 1,451,582,798,672.25
  5. Step 5: Solve for x
    x = 1,451,582,798,672.25/570,582
  6. Step 6: Final answer
    x = 2,544,038.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.