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Finding the Third Proportional to 704,786 and 1,004,691

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Solution

The third proportional to 704,786 and 1,004,691 is: 1,432,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,786 : 1,004,691 = 1,004,691 : x
  2. Step 2: Convert to fraction form
    704,786/1,004,691 = 1,004,691/x
  3. Step 3: Cross multiply
    704,786x = 1,004,691 × 1,004,691
  4. Step 4: Simplify right side
    704,786x = 1,009,404,005,481
  5. Step 5: Solve for x
    x = 1,009,404,005,481/704,786
  6. Step 6: Final answer
    x = 1,432,213.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.