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Finding the Third Proportional to 740,148 and 1,538,472

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Solution

The third proportional to 740,148 and 1,538,472 is: 3,197,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,148 : 1,538,472 = 1,538,472 : x
  2. Step 2: Convert to fraction form
    740,148/1,538,472 = 1,538,472/x
  3. Step 3: Cross multiply
    740,148x = 1,538,472 × 1,538,472
  4. Step 4: Simplify right side
    740,148x = 2,366,896,094,784
  5. Step 5: Solve for x
    x = 2,366,896,094,784/740,148
  6. Step 6: Final answer
    x = 3,197,868.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.