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Finding the Third Proportional to 432,664 and 939,959

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Solution

The third proportional to 432,664 and 939,959 is: 2,042,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,664 : 939,959 = 939,959 : x
  2. Step 2: Convert to fraction form
    432,664/939,959 = 939,959/x
  3. Step 3: Cross multiply
    432,664x = 939,959 × 939,959
  4. Step 4: Simplify right side
    432,664x = 883,522,921,681
  5. Step 5: Solve for x
    x = 883,522,921,681/432,664
  6. Step 6: Final answer
    x = 2,042,053.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.