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Finding the Third Proportional to 725,564 and 1,537,562

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Solution

The third proportional to 725,564 and 1,537,562 is: 3,258,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,564 : 1,537,562 = 1,537,562 : x
  2. Step 2: Convert to fraction form
    725,564/1,537,562 = 1,537,562/x
  3. Step 3: Cross multiply
    725,564x = 1,537,562 × 1,537,562
  4. Step 4: Simplify right side
    725,564x = 2,364,096,903,844
  5. Step 5: Solve for x
    x = 2,364,096,903,844/725,564
  6. Step 6: Final answer
    x = 3,258,288.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.