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Finding the Third Proportional to 963,080 and 1,288,440

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Solution

The third proportional to 963,080 and 1,288,440 is: 1,723,717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,080 : 1,288,440 = 1,288,440 : x
  2. Step 2: Convert to fraction form
    963,080/1,288,440 = 1,288,440/x
  3. Step 3: Cross multiply
    963,080x = 1,288,440 × 1,288,440
  4. Step 4: Simplify right side
    963,080x = 1,660,077,633,600
  5. Step 5: Solve for x
    x = 1,660,077,633,600/963,080
  6. Step 6: Final answer
    x = 1,723,717.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.