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Finding the Third Proportional to 461,700 and 989,091

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Solution

The third proportional to 461,700 and 989,091 is: 2,118,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,700 : 989,091 = 989,091 : x
  2. Step 2: Convert to fraction form
    461,700/989,091 = 989,091/x
  3. Step 3: Cross multiply
    461,700x = 989,091 × 989,091
  4. Step 4: Simplify right side
    461,700x = 978,301,006,281
  5. Step 5: Solve for x
    x = 978,301,006,281/461,700
  6. Step 6: Final answer
    x = 2,118,910.56

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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.