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Finding the Third Proportional to 563,050.69 and 1,214,674.73

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Solution

The third proportional to 563,050.69 and 1,214,674.73 is: 2,620,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,050.69 : 1,214,674.73 = 1,214,674.73 : x
  2. Step 2: Convert to fraction form
    563,050.69/1,214,674.73 = 1,214,674.73/x
  3. Step 3: Cross multiply
    563,050.69x = 1,214,674.73 × 1,214,674.73
  4. Step 4: Simplify right side
    563,050.69x = 1,475,434,710,328.98
  5. Step 5: Solve for x
    x = 1,475,434,710,328.98/563,050.69
  6. Step 6: Final answer
    x = 2,620,429.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.