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Finding the Third Proportional to 501,703 and 1,098,607

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Solution

The third proportional to 501,703 and 1,098,607 is: 2,405,680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,703 : 1,098,607 = 1,098,607 : x
  2. Step 2: Convert to fraction form
    501,703/1,098,607 = 1,098,607/x
  3. Step 3: Cross multiply
    501,703x = 1,098,607 × 1,098,607
  4. Step 4: Simplify right side
    501,703x = 1,206,937,340,449
  5. Step 5: Solve for x
    x = 1,206,937,340,449/501,703
  6. Step 6: Final answer
    x = 2,405,680.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.