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Finding the Third Proportional to 520,065 and 1,117,727

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Solution

The third proportional to 520,065 and 1,117,727 is: 2,402,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,065 : 1,117,727 = 1,117,727 : x
  2. Step 2: Convert to fraction form
    520,065/1,117,727 = 1,117,727/x
  3. Step 3: Cross multiply
    520,065x = 1,117,727 × 1,117,727
  4. Step 4: Simplify right side
    520,065x = 1,249,313,646,529
  5. Step 5: Solve for x
    x = 1,249,313,646,529/520,065
  6. Step 6: Final answer
    x = 2,402,225.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.