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Finding the Third Proportional to 797,856 and 1,707,786

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Solution

The third proportional to 797,856 and 1,707,786 is: 3,655,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,856 : 1,707,786 = 1,707,786 : x
  2. Step 2: Convert to fraction form
    797,856/1,707,786 = 1,707,786/x
  3. Step 3: Cross multiply
    797,856x = 1,707,786 × 1,707,786
  4. Step 4: Simplify right side
    797,856x = 2,916,533,021,796
  5. Step 5: Solve for x
    x = 2,916,533,021,796/797,856
  6. Step 6: Final answer
    x = 3,655,462.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.