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Finding the Third Proportional to 631,664 and 971,895

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Solution

The third proportional to 631,664 and 971,895 is: 1,495,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,664 : 971,895 = 971,895 : x
  2. Step 2: Convert to fraction form
    631,664/971,895 = 971,895/x
  3. Step 3: Cross multiply
    631,664x = 971,895 × 971,895
  4. Step 4: Simplify right side
    631,664x = 944,579,891,025
  5. Step 5: Solve for x
    x = 944,579,891,025/631,664
  6. Step 6: Final answer
    x = 1,495,383.45

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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.