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Finding the Third Proportional to 616,057 and 902,804

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Solution

The third proportional to 616,057 and 902,804 is: 1,323,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,057 : 902,804 = 902,804 : x
  2. Step 2: Convert to fraction form
    616,057/902,804 = 902,804/x
  3. Step 3: Cross multiply
    616,057x = 902,804 × 902,804
  4. Step 4: Simplify right side
    616,057x = 815,055,062,416
  5. Step 5: Solve for x
    x = 815,055,062,416/616,057
  6. Step 6: Final answer
    x = 1,323,018.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.