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Finding the Third Proportional to 612,752 and 882,544

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Solution

The third proportional to 612,752 and 882,544 is: 1,271,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,752 : 882,544 = 882,544 : x
  2. Step 2: Convert to fraction form
    612,752/882,544 = 882,544/x
  3. Step 3: Cross multiply
    612,752x = 882,544 × 882,544
  4. Step 4: Simplify right side
    612,752x = 778,883,911,936
  5. Step 5: Solve for x
    x = 778,883,911,936/612,752
  6. Step 6: Final answer
    x = 1,271,124.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.