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Finding the Third Proportional to 985,947 and 2,121,342

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Solution

The third proportional to 985,947 and 2,121,342 is: 4,564,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,947 : 2,121,342 = 2,121,342 : x
  2. Step 2: Convert to fraction form
    985,947/2,121,342 = 2,121,342/x
  3. Step 3: Cross multiply
    985,947x = 2,121,342 × 2,121,342
  4. Step 4: Simplify right side
    985,947x = 4,500,091,880,964
  5. Step 5: Solve for x
    x = 4,500,091,880,964/985,947
  6. Step 6: Final answer
    x = 4,564,233.05

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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.