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Finding the Third Proportional to 916,032 and 1,265,760

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Solution

The third proportional to 916,032 and 1,265,760 is: 1,749,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,032 : 1,265,760 = 1,265,760 : x
  2. Step 2: Convert to fraction form
    916,032/1,265,760 = 1,265,760/x
  3. Step 3: Cross multiply
    916,032x = 1,265,760 × 1,265,760
  4. Step 4: Simplify right side
    916,032x = 1,602,148,377,600
  5. Step 5: Solve for x
    x = 1,602,148,377,600/916,032
  6. Step 6: Final answer
    x = 1,749,009.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.