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Finding the Third Proportional to 417,044 and 910,546

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Solution

The third proportional to 417,044 and 910,546 is: 1,988,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,044 : 910,546 = 910,546 : x
  2. Step 2: Convert to fraction form
    417,044/910,546 = 910,546/x
  3. Step 3: Cross multiply
    417,044x = 910,546 × 910,546
  4. Step 4: Simplify right side
    417,044x = 829,094,018,116
  5. Step 5: Solve for x
    x = 829,094,018,116/417,044
  6. Step 6: Final answer
    x = 1,988,025.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.