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Finding the Third Proportional to 592,133,193 and 1,283,114,412

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Solution

The third proportional to 592,133,193 and 1,283,114,412 is: 2,780,426,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,133,193 : 1,283,114,412 = 1,283,114,412 : x
  2. Step 2: Convert to fraction form
    592,133,193/1,283,114,412 = 1,283,114,412/x
  3. Step 3: Cross multiply
    592,133,193x = 1,283,114,412 × 1,283,114,412
  4. Step 4: Simplify right side
    592,133,193x = 1,646,382,594,282,105,856
  5. Step 5: Solve for x
    x = 1,646,382,594,282,105,856/592,133,193
  6. Step 6: Final answer
    x = 2,780,426,116.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.