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Finding the Third Proportional to 631,662 and 971,890

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Solution

The third proportional to 631,662 and 971,890 is: 1,495,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,662 : 971,890 = 971,890 : x
  2. Step 2: Convert to fraction form
    631,662/971,890 = 971,890/x
  3. Step 3: Cross multiply
    631,662x = 971,890 × 971,890
  4. Step 4: Simplify right side
    631,662x = 944,570,172,100
  5. Step 5: Solve for x
    x = 944,570,172,100/631,662
  6. Step 6: Final answer
    x = 1,495,372.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.