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Finding the Third Proportional to 1,033,498.83 and 1,520,723.53

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Solution

The third proportional to 1,033,498.83 and 1,520,723.53 is: 2,237,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,498.83 : 1,520,723.53 = 1,520,723.53 : x
  2. Step 2: Convert to fraction form
    1,033,498.83/1,520,723.53 = 1,520,723.53/x
  3. Step 3: Cross multiply
    1,033,498.83x = 1,520,723.53 × 1,520,723.53
  4. Step 4: Simplify right side
    1,033,498.83x = 2,312,600,058,497.47
  5. Step 5: Solve for x
    x = 2,312,600,058,497.47/1,033,498.83
  6. Step 6: Final answer
    x = 2,237,641.68

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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.