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Finding the Third Proportional to 997,442 and 1,579,668

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Solution

The third proportional to 997,442 and 1,579,668 is: 2,501,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,442 : 1,579,668 = 1,579,668 : x
  2. Step 2: Convert to fraction form
    997,442/1,579,668 = 1,579,668/x
  3. Step 3: Cross multiply
    997,442x = 1,579,668 × 1,579,668
  4. Step 4: Simplify right side
    997,442x = 2,495,350,990,224
  5. Step 5: Solve for x
    x = 2,495,350,990,224/997,442
  6. Step 6: Final answer
    x = 2,501,750.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.