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Finding the Third Proportional to 721,280 and 1,121,224

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Solution

The third proportional to 721,280 and 1,121,224 is: 1,742,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,280 : 1,121,224 = 1,121,224 : x
  2. Step 2: Convert to fraction form
    721,280/1,121,224 = 1,121,224/x
  3. Step 3: Cross multiply
    721,280x = 1,121,224 × 1,121,224
  4. Step 4: Simplify right side
    721,280x = 1,257,143,258,176
  5. Step 5: Solve for x
    x = 1,257,143,258,176/721,280
  6. Step 6: Final answer
    x = 1,742,933.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.