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Finding the Third Proportional to 526,612 and 1,153,232

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Solution

The third proportional to 526,612 and 1,153,232 is: 2,525,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,612 : 1,153,232 = 1,153,232 : x
  2. Step 2: Convert to fraction form
    526,612/1,153,232 = 1,153,232/x
  3. Step 3: Cross multiply
    526,612x = 1,153,232 × 1,153,232
  4. Step 4: Simplify right side
    526,612x = 1,329,944,045,824
  5. Step 5: Solve for x
    x = 1,329,944,045,824/526,612
  6. Step 6: Final answer
    x = 2,525,472.35

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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.