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Finding the Third Proportional to 746,270 and 1,183,581

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Solution

The third proportional to 746,270 and 1,183,581 is: 1,877,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,270 : 1,183,581 = 1,183,581 : x
  2. Step 2: Convert to fraction form
    746,270/1,183,581 = 1,183,581/x
  3. Step 3: Cross multiply
    746,270x = 1,183,581 × 1,183,581
  4. Step 4: Simplify right side
    746,270x = 1,400,863,983,561
  5. Step 5: Solve for x
    x = 1,400,863,983,561/746,270
  6. Step 6: Final answer
    x = 1,877,154.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.