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Finding the Third Proportional to 581,727 and 1,216,155

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Solution

The third proportional to 581,727 and 1,216,155 is: 2,542,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,727 : 1,216,155 = 1,216,155 : x
  2. Step 2: Convert to fraction form
    581,727/1,216,155 = 1,216,155/x
  3. Step 3: Cross multiply
    581,727x = 1,216,155 × 1,216,155
  4. Step 4: Simplify right side
    581,727x = 1,479,032,984,025
  5. Step 5: Solve for x
    x = 1,479,032,984,025/581,727
  6. Step 6: Final answer
    x = 2,542,486.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.