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Finding the Third Proportional to 673,496 and 1,473,664

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Solution

The third proportional to 673,496 and 1,473,664 is: 3,224,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,496 : 1,473,664 = 1,473,664 : x
  2. Step 2: Convert to fraction form
    673,496/1,473,664 = 1,473,664/x
  3. Step 3: Cross multiply
    673,496x = 1,473,664 × 1,473,664
  4. Step 4: Simplify right side
    673,496x = 2,171,685,584,896
  5. Step 5: Solve for x
    x = 2,171,685,584,896/673,496
  6. Step 6: Final answer
    x = 3,224,496.63

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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.