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Finding the Third Proportional to 962,186 and 1,523,487

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Solution

The third proportional to 962,186 and 1,523,487 is: 2,412,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,186 : 1,523,487 = 1,523,487 : x
  2. Step 2: Convert to fraction form
    962,186/1,523,487 = 1,523,487/x
  3. Step 3: Cross multiply
    962,186x = 1,523,487 × 1,523,487
  4. Step 4: Simplify right side
    962,186x = 2,321,012,639,169
  5. Step 5: Solve for x
    x = 2,321,012,639,169/962,186
  6. Step 6: Final answer
    x = 2,412,228.65

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Why These Related Problems?

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