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Finding the Third Proportional to 534,094,560 and 1,125,576,000

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Solution

The third proportional to 534,094,560 and 1,125,576,000 is: 2,372,091,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,094,560 : 1,125,576,000 = 1,125,576,000 : x
  2. Step 2: Convert to fraction form
    534,094,560/1,125,576,000 = 1,125,576,000/x
  3. Step 3: Cross multiply
    534,094,560x = 1,125,576,000 × 1,125,576,000
  4. Step 4: Simplify right side
    534,094,560x = 1,266,921,331,776,000,000
  5. Step 5: Solve for x
    x = 1,266,921,331,776,000,000/534,094,560
  6. Step 6: Final answer
    x = 2,372,091,810.44

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.