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Finding the Third Proportional to 545,026 and 1,173,347

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Solution

The third proportional to 545,026 and 1,173,347 is: 2,526,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,026 : 1,173,347 = 1,173,347 : x
  2. Step 2: Convert to fraction form
    545,026/1,173,347 = 1,173,347/x
  3. Step 3: Cross multiply
    545,026x = 1,173,347 × 1,173,347
  4. Step 4: Simplify right side
    545,026x = 1,376,743,182,409
  5. Step 5: Solve for x
    x = 1,376,743,182,409/545,026
  6. Step 6: Final answer
    x = 2,526,013.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.