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Finding the Third Proportional to 962,768 and 1,525,800

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Solution

The third proportional to 962,768 and 1,525,800 is: 2,418,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,768 : 1,525,800 = 1,525,800 : x
  2. Step 2: Convert to fraction form
    962,768/1,525,800 = 1,525,800/x
  3. Step 3: Cross multiply
    962,768x = 1,525,800 × 1,525,800
  4. Step 4: Simplify right side
    962,768x = 2,328,065,640,000
  5. Step 5: Solve for x
    x = 2,328,065,640,000/962,768
  6. Step 6: Final answer
    x = 2,418,096.20

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.