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Finding the Third Proportional to 631,658 and 971,884

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Solution

The third proportional to 631,658 and 971,884 is: 1,495,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,658 : 971,884 = 971,884 : x
  2. Step 2: Convert to fraction form
    631,658/971,884 = 971,884/x
  3. Step 3: Cross multiply
    631,658x = 971,884 × 971,884
  4. Step 4: Simplify right side
    631,658x = 944,558,509,456
  5. Step 5: Solve for x
    x = 944,558,509,456/631,658
  6. Step 6: Final answer
    x = 1,495,363.80

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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.