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Finding the Third Proportional to 725,545 and 1,537,580

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Solution

The third proportional to 725,545 and 1,537,580 is: 3,258,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,545 : 1,537,580 = 1,537,580 : x
  2. Step 2: Convert to fraction form
    725,545/1,537,580 = 1,537,580/x
  3. Step 3: Cross multiply
    725,545x = 1,537,580 × 1,537,580
  4. Step 4: Simplify right side
    725,545x = 2,364,152,256,400
  5. Step 5: Solve for x
    x = 2,364,152,256,400/725,545
  6. Step 6: Final answer
    x = 3,258,450.21

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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.