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Finding the Third Proportional to 410,026 and 887,444

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Solution

The third proportional to 410,026 and 887,444 is: 1,920,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,026 : 887,444 = 887,444 : x
  2. Step 2: Convert to fraction form
    410,026/887,444 = 887,444/x
  3. Step 3: Cross multiply
    410,026x = 887,444 × 887,444
  4. Step 4: Simplify right side
    410,026x = 787,556,853,136
  5. Step 5: Solve for x
    x = 787,556,853,136/410,026
  6. Step 6: Final answer
    x = 1,920,748.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.