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Finding the Third Proportional to 449,411 and 954,226

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Solution

The third proportional to 449,411 and 954,226 is: 2,026,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,411 : 954,226 = 954,226 : x
  2. Step 2: Convert to fraction form
    449,411/954,226 = 954,226/x
  3. Step 3: Cross multiply
    449,411x = 954,226 × 954,226
  4. Step 4: Simplify right side
    449,411x = 910,547,259,076
  5. Step 5: Solve for x
    x = 910,547,259,076/449,411
  6. Step 6: Final answer
    x = 2,026,090.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.