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Finding the Third Proportional to 461,703 and 989,097

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Solution

The third proportional to 461,703 and 989,097 is: 2,118,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,703 : 989,097 = 989,097 : x
  2. Step 2: Convert to fraction form
    461,703/989,097 = 989,097/x
  3. Step 3: Cross multiply
    461,703x = 989,097 × 989,097
  4. Step 4: Simplify right side
    461,703x = 978,312,875,409
  5. Step 5: Solve for x
    x = 978,312,875,409/461,703
  6. Step 6: Final answer
    x = 2,118,922.50

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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.