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Finding the Third Proportional to 501,633 and 1,071,306

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Solution

The third proportional to 501,633 and 1,071,306 is: 2,287,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,633 : 1,071,306 = 1,071,306 : x
  2. Step 2: Convert to fraction form
    501,633/1,071,306 = 1,071,306/x
  3. Step 3: Cross multiply
    501,633x = 1,071,306 × 1,071,306
  4. Step 4: Simplify right side
    501,633x = 1,147,696,545,636
  5. Step 5: Solve for x
    x = 1,147,696,545,636/501,633
  6. Step 6: Final answer
    x = 2,287,920.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.