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Finding the Third Proportional to 511,619,670 and 1,125,252,612

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Solution

The third proportional to 511,619,670 and 1,125,252,612 is: 2,474,872,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,619,670 : 1,125,252,612 = 1,125,252,612 : x
  2. Step 2: Convert to fraction form
    511,619,670/1,125,252,612 = 1,125,252,612/x
  3. Step 3: Cross multiply
    511,619,670x = 1,125,252,612 × 1,125,252,612
  4. Step 4: Simplify right side
    511,619,670x = 1,266,193,440,812,822,528
  5. Step 5: Solve for x
    x = 1,266,193,440,812,822,528/511,619,670
  6. Step 6: Final answer
    x = 2,474,872,478.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.