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Finding the Third Proportional to 832,480 and 1,245,380

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Solution

The third proportional to 832,480 and 1,245,380 is: 1,863,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,480 : 1,245,380 = 1,245,380 : x
  2. Step 2: Convert to fraction form
    832,480/1,245,380 = 1,245,380/x
  3. Step 3: Cross multiply
    832,480x = 1,245,380 × 1,245,380
  4. Step 4: Simplify right side
    832,480x = 1,550,971,344,400
  5. Step 5: Solve for x
    x = 1,550,971,344,400/832,480
  6. Step 6: Final answer
    x = 1,863,073.40

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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.