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Finding the Third Proportional to 743,494,308 and 1,124,819,466

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Solution

The third proportional to 743,494,308 and 1,124,819,466 is: 1,701,719,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,494,308 : 1,124,819,466 = 1,124,819,466 : x
  2. Step 2: Convert to fraction form
    743,494,308/1,124,819,466 = 1,124,819,466/x
  3. Step 3: Cross multiply
    743,494,308x = 1,124,819,466 × 1,124,819,466
  4. Step 4: Simplify right side
    743,494,308x = 1,265,218,831,092,525,056
  5. Step 5: Solve for x
    x = 1,265,218,831,092,525,056/743,494,308
  6. Step 6: Final answer
    x = 1,701,719,592.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.