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Finding the Third Proportional to 985,590 and 2,138,484

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Solution

The third proportional to 985,590 and 2,138,484 is: 4,639,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,590 : 2,138,484 = 2,138,484 : x
  2. Step 2: Convert to fraction form
    985,590/2,138,484 = 2,138,484/x
  3. Step 3: Cross multiply
    985,590x = 2,138,484 × 2,138,484
  4. Step 4: Simplify right side
    985,590x = 4,573,113,818,256
  5. Step 5: Solve for x
    x = 4,573,113,818,256/985,590
  6. Step 6: Final answer
    x = 4,639,975.87

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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.