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Finding the Third Proportional to 614,372.34 and 1,346,842.69

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Solution

The third proportional to 614,372.34 and 1,346,842.69 is: 2,952,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,372.34 : 1,346,842.69 = 1,346,842.69 : x
  2. Step 2: Convert to fraction form
    614,372.34/1,346,842.69 = 1,346,842.69/x
  3. Step 3: Cross multiply
    614,372.34x = 1,346,842.69 × 1,346,842.69
  4. Step 4: Simplify right side
    614,372.34x = 1,813,985,224,872.22
  5. Step 5: Solve for x
    x = 1,813,985,224,872.22/614,372.34
  6. Step 6: Final answer
    x = 2,952,582.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.