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Finding the Third Proportional to 641,853 and 999,584

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Solution

The third proportional to 641,853 and 999,584 is: 1,556,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,853 : 999,584 = 999,584 : x
  2. Step 2: Convert to fraction form
    641,853/999,584 = 999,584/x
  3. Step 3: Cross multiply
    641,853x = 999,584 × 999,584
  4. Step 4: Simplify right side
    641,853x = 999,168,173,056
  5. Step 5: Solve for x
    x = 999,168,173,056/641,853
  6. Step 6: Final answer
    x = 1,556,693.16

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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.