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Finding the Third Proportional to 523,880,353 and 805,241,640

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Solution

The third proportional to 523,880,353 and 805,241,640 is: 1,237,714,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,880,353 : 805,241,640 = 805,241,640 : x
  2. Step 2: Convert to fraction form
    523,880,353/805,241,640 = 805,241,640/x
  3. Step 3: Cross multiply
    523,880,353x = 805,241,640 × 805,241,640
  4. Step 4: Simplify right side
    523,880,353x = 648,414,098,789,889,536
  5. Step 5: Solve for x
    x = 648,414,098,789,889,536/523,880,353
  6. Step 6: Final answer
    x = 1,237,714,098.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.