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Finding the Third Proportional to 655,696,658 and 1,070,580,282

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Solution

The third proportional to 655,696,658 and 1,070,580,282 is: 1,747,976,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,696,658 : 1,070,580,282 = 1,070,580,282 : x
  2. Step 2: Convert to fraction form
    655,696,658/1,070,580,282 = 1,070,580,282/x
  3. Step 3: Cross multiply
    655,696,658x = 1,070,580,282 × 1,070,580,282
  4. Step 4: Simplify right side
    655,696,658x = 1,146,142,140,207,199,488
  5. Step 5: Solve for x
    x = 1,146,142,140,207,199,488/655,696,658
  6. Step 6: Final answer
    x = 1,747,976,181.09

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.