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Finding the Third Proportional to 638,618.63 and 1,064,321.81

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Solution

The third proportional to 638,618.63 and 1,064,321.81 is: 1,773,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,618.63 : 1,064,321.81 = 1,064,321.81 : x
  2. Step 2: Convert to fraction form
    638,618.63/1,064,321.81 = 1,064,321.81/x
  3. Step 3: Cross multiply
    638,618.63x = 1,064,321.81 × 1,064,321.81
  4. Step 4: Simplify right side
    638,618.63x = 1,132,780,920,563.29
  5. Step 5: Solve for x
    x = 1,132,780,920,563.29/638,618.63
  6. Step 6: Final answer
    x = 1,773,798.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.