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Finding the Third Proportional to 1,210,246.31 and 2,633,421.38

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Solution

The third proportional to 1,210,246.31 and 2,633,421.38 is: 5,730,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,246.31 : 2,633,421.38 = 2,633,421.38 : x
  2. Step 2: Convert to fraction form
    1,210,246.31/2,633,421.38 = 2,633,421.38/x
  3. Step 3: Cross multiply
    1,210,246.31x = 2,633,421.38 × 2,633,421.38
  4. Step 4: Simplify right side
    1,210,246.31x = 6,934,908,138,306.89
  5. Step 5: Solve for x
    x = 6,934,908,138,306.89/1,210,246.31
  6. Step 6: Final answer
    x = 5,730,162.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.