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Finding the Third Proportional to 641,857 and 999,590

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Solution

The third proportional to 641,857 and 999,590 is: 1,556,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,857 : 999,590 = 999,590 : x
  2. Step 2: Convert to fraction form
    641,857/999,590 = 999,590/x
  3. Step 3: Cross multiply
    641,857x = 999,590 × 999,590
  4. Step 4: Simplify right side
    641,857x = 999,180,168,100
  5. Step 5: Solve for x
    x = 999,180,168,100/641,857
  6. Step 6: Final answer
    x = 1,556,702.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.