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Finding the Third Proportional to 1,033,497.98 and 1,520,722.27

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Solution

The third proportional to 1,033,497.98 and 1,520,722.27 is: 2,237,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,497.98 : 1,520,722.27 = 1,520,722.27 : x
  2. Step 2: Convert to fraction form
    1,033,497.98/1,520,722.27 = 1,520,722.27/x
  3. Step 3: Cross multiply
    1,033,497.98x = 1,520,722.27 × 1,520,722.27
  4. Step 4: Simplify right side
    1,033,497.98x = 2,312,596,209,167.63
  5. Step 5: Solve for x
    x = 2,312,596,209,167.63/1,033,497.98
  6. Step 6: Final answer
    x = 2,237,639.79

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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.