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Finding the Third Proportional to 692,977,834 and 1,540,894,340

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Solution

The third proportional to 692,977,834 and 1,540,894,340 is: 3,426,307,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,977,834 : 1,540,894,340 = 1,540,894,340 : x
  2. Step 2: Convert to fraction form
    692,977,834/1,540,894,340 = 1,540,894,340/x
  3. Step 3: Cross multiply
    692,977,834x = 1,540,894,340 × 1,540,894,340
  4. Step 4: Simplify right side
    692,977,834x = 2,374,355,367,044,035,584
  5. Step 5: Solve for x
    x = 2,374,355,367,044,035,584/692,977,834
  6. Step 6: Final answer
    x = 3,426,307,813.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.