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Finding the Third Proportional to 673,732 and 1,454,328

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Solution

The third proportional to 673,732 and 1,454,328 is: 3,139,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,732 : 1,454,328 = 1,454,328 : x
  2. Step 2: Convert to fraction form
    673,732/1,454,328 = 1,454,328/x
  3. Step 3: Cross multiply
    673,732x = 1,454,328 × 1,454,328
  4. Step 4: Simplify right side
    673,732x = 2,115,069,931,584
  5. Step 5: Solve for x
    x = 2,115,069,931,584/673,732
  6. Step 6: Final answer
    x = 3,139,334.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.