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Finding the Third Proportional to 507,656 and 1,202,664

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Solution

The third proportional to 507,656 and 1,202,664 is: 2,849,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,656 : 1,202,664 = 1,202,664 : x
  2. Step 2: Convert to fraction form
    507,656/1,202,664 = 1,202,664/x
  3. Step 3: Cross multiply
    507,656x = 1,202,664 × 1,202,664
  4. Step 4: Simplify right side
    507,656x = 1,446,400,696,896
  5. Step 5: Solve for x
    x = 1,446,400,696,896/507,656
  6. Step 6: Final answer
    x = 2,849,174.83

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.