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Finding the Third Proportional to 458,148,492 and 971,270,646

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Solution

The third proportional to 458,148,492 and 971,270,646 is: 2,059,084,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,148,492 : 971,270,646 = 971,270,646 : x
  2. Step 2: Convert to fraction form
    458,148,492/971,270,646 = 971,270,646/x
  3. Step 3: Cross multiply
    458,148,492x = 971,270,646 × 971,270,646
  4. Step 4: Simplify right side
    458,148,492x = 943,366,667,781,257,344
  5. Step 5: Solve for x
    x = 943,366,667,781,257,344/458,148,492
  6. Step 6: Final answer
    x = 2,059,084,956.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.