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Finding the Third Proportional to 1,537,988 and 2,471,024

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Solution

The third proportional to 1,537,988 and 2,471,024 is: 3,970,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,988 : 2,471,024 = 2,471,024 : x
  2. Step 2: Convert to fraction form
    1,537,988/2,471,024 = 2,471,024/x
  3. Step 3: Cross multiply
    1,537,988x = 2,471,024 × 2,471,024
  4. Step 4: Simplify right side
    1,537,988x = 6,105,959,608,576
  5. Step 5: Solve for x
    x = 6,105,959,608,576/1,537,988
  6. Step 6: Final answer
    x = 3,970,095.74

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.