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Finding the Third Proportional to 417,032 and 910,526

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Solution

The third proportional to 417,032 and 910,526 is: 1,987,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,032 : 910,526 = 910,526 : x
  2. Step 2: Convert to fraction form
    417,032/910,526 = 910,526/x
  3. Step 3: Cross multiply
    417,032x = 910,526 × 910,526
  4. Step 4: Simplify right side
    417,032x = 829,057,596,676
  5. Step 5: Solve for x
    x = 829,057,596,676/417,032
  6. Step 6: Final answer
    x = 1,987,995.16

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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.