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Finding the Third Proportional to 727,677 and 1,530,752

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Solution

The third proportional to 727,677 and 1,530,752 is: 3,220,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,677 : 1,530,752 = 1,530,752 : x
  2. Step 2: Convert to fraction form
    727,677/1,530,752 = 1,530,752/x
  3. Step 3: Cross multiply
    727,677x = 1,530,752 × 1,530,752
  4. Step 4: Simplify right side
    727,677x = 2,343,201,685,504
  5. Step 5: Solve for x
    x = 2,343,201,685,504/727,677
  6. Step 6: Final answer
    x = 3,220,112.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.