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Finding the Third Proportional to 692,959,724 and 1,443,241,264

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Solution

The third proportional to 692,959,724 and 1,443,241,264 is: 3,005,867,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,959,724 : 1,443,241,264 = 1,443,241,264 : x
  2. Step 2: Convert to fraction form
    692,959,724/1,443,241,264 = 1,443,241,264/x
  3. Step 3: Cross multiply
    692,959,724x = 1,443,241,264 × 1,443,241,264
  4. Step 4: Simplify right side
    692,959,724x = 2,082,945,346,112,317,696
  5. Step 5: Solve for x
    x = 2,082,945,346,112,317,696/692,959,724
  6. Step 6: Final answer
    x = 3,005,867,836.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.