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Finding the Third Proportional to 1,638,348.19 and 2,457,523.13

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Solution

The third proportional to 1,638,348.19 and 2,457,523.13 is: 3,686,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,348.19 : 2,457,523.13 = 2,457,523.13 : x
  2. Step 2: Convert to fraction form
    1,638,348.19/2,457,523.13 = 2,457,523.13/x
  3. Step 3: Cross multiply
    1,638,348.19x = 2,457,523.13 × 2,457,523.13
  4. Step 4: Simplify right side
    1,638,348.19x = 6,039,419,909,909.77
  5. Step 5: Solve for x
    x = 6,039,419,909,909.77/1,638,348.19
  6. Step 6: Final answer
    x = 3,686,285.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.