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Finding the Third Proportional to 468,781 and 1,010,569

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Solution

The third proportional to 468,781 and 1,010,569 is: 2,178,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,781 : 1,010,569 = 1,010,569 : x
  2. Step 2: Convert to fraction form
    468,781/1,010,569 = 1,010,569/x
  3. Step 3: Cross multiply
    468,781x = 1,010,569 × 1,010,569
  4. Step 4: Simplify right side
    468,781x = 1,021,249,703,761
  5. Step 5: Solve for x
    x = 1,021,249,703,761/468,781
  6. Step 6: Final answer
    x = 2,178,521.96

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Why These Related Problems?

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