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Finding the Third Proportional to 459,924 and 989,796

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Solution

The third proportional to 459,924 and 989,796 is: 2,130,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,924 : 989,796 = 989,796 : x
  2. Step 2: Convert to fraction form
    459,924/989,796 = 989,796/x
  3. Step 3: Cross multiply
    459,924x = 989,796 × 989,796
  4. Step 4: Simplify right side
    459,924x = 979,696,121,616
  5. Step 5: Solve for x
    x = 979,696,121,616/459,924
  6. Step 6: Final answer
    x = 2,130,126.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.