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Finding the Third Proportional to 619,246.69 and 1,024,869.38

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Solution

The third proportional to 619,246.69 and 1,024,869.38 is: 1,696,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,246.69 : 1,024,869.38 = 1,024,869.38 : x
  2. Step 2: Convert to fraction form
    619,246.69/1,024,869.38 = 1,024,869.38/x
  3. Step 3: Cross multiply
    619,246.69x = 1,024,869.38 × 1,024,869.38
  4. Step 4: Simplify right side
    619,246.69x = 1,050,357,235,812.89
  5. Step 5: Solve for x
    x = 1,050,357,235,812.89/619,246.69
  6. Step 6: Final answer
    x = 1,696,185.47

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.