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Finding the Third Proportional to 432,313 and 944,897

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Solution

The third proportional to 432,313 and 944,897 is: 2,065,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,313 : 944,897 = 944,897 : x
  2. Step 2: Convert to fraction form
    432,313/944,897 = 944,897/x
  3. Step 3: Cross multiply
    432,313x = 944,897 × 944,897
  4. Step 4: Simplify right side
    432,313x = 892,830,340,609
  5. Step 5: Solve for x
    x = 892,830,340,609/432,313
  6. Step 6: Final answer
    x = 2,065,240.56

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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.