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Finding the Third Proportional to 492,561 and 1,063,854

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Solution

The third proportional to 492,561 and 1,063,854 is: 2,297,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,561 : 1,063,854 = 1,063,854 : x
  2. Step 2: Convert to fraction form
    492,561/1,063,854 = 1,063,854/x
  3. Step 3: Cross multiply
    492,561x = 1,063,854 × 1,063,854
  4. Step 4: Simplify right side
    492,561x = 1,131,785,333,316
  5. Step 5: Solve for x
    x = 1,131,785,333,316/492,561
  6. Step 6: Final answer
    x = 2,297,756.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.