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Finding the Third Proportional to 526,614 and 1,153,236

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Solution

The third proportional to 526,614 and 1,153,236 is: 2,525,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,614 : 1,153,236 = 1,153,236 : x
  2. Step 2: Convert to fraction form
    526,614/1,153,236 = 1,153,236/x
  3. Step 3: Cross multiply
    526,614x = 1,153,236 × 1,153,236
  4. Step 4: Simplify right side
    526,614x = 1,329,953,271,696
  5. Step 5: Solve for x
    x = 1,329,953,271,696/526,614
  6. Step 6: Final answer
    x = 2,525,480.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.