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Finding the Third Proportional to 438,870 and 944,340

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Solution

The third proportional to 438,870 and 944,340 is: 2,031,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,870 : 944,340 = 944,340 : x
  2. Step 2: Convert to fraction form
    438,870/944,340 = 944,340/x
  3. Step 3: Cross multiply
    438,870x = 944,340 × 944,340
  4. Step 4: Simplify right side
    438,870x = 891,778,035,600
  5. Step 5: Solve for x
    x = 891,778,035,600/438,870
  6. Step 6: Final answer
    x = 2,031,986.77

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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.