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Finding the Third Proportional to 341,237,841 and 735,038,517

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Solution

The third proportional to 341,237,841 and 735,038,517 is: 1,583,299,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,237,841 : 735,038,517 = 735,038,517 : x
  2. Step 2: Convert to fraction form
    341,237,841/735,038,517 = 735,038,517/x
  3. Step 3: Cross multiply
    341,237,841x = 735,038,517 × 735,038,517
  4. Step 4: Simplify right side
    341,237,841x = 540,281,621,473,559,296
  5. Step 5: Solve for x
    x = 540,281,621,473,559,296/341,237,841
  6. Step 6: Final answer
    x = 1,583,299,260.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.