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Finding the Third Proportional to 534,273,064 and 805,614,000

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Solution

The third proportional to 534,273,064 and 805,614,000 is: 1,214,760,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,273,064 : 805,614,000 = 805,614,000 : x
  2. Step 2: Convert to fraction form
    534,273,064/805,614,000 = 805,614,000/x
  3. Step 3: Cross multiply
    534,273,064x = 805,614,000 × 805,614,000
  4. Step 4: Simplify right side
    534,273,064x = 649,013,916,996,000,000
  5. Step 5: Solve for x
    x = 649,013,916,996,000,000/534,273,064
  6. Step 6: Final answer
    x = 1,214,760,692.10

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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.