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Finding the Third Proportional to 817,856 and 1,779,712

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Solution

The third proportional to 817,856 and 1,779,712 is: 3,872,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,856 : 1,779,712 = 1,779,712 : x
  2. Step 2: Convert to fraction form
    817,856/1,779,712 = 1,779,712/x
  3. Step 3: Cross multiply
    817,856x = 1,779,712 × 1,779,712
  4. Step 4: Simplify right side
    817,856x = 3,167,374,802,944
  5. Step 5: Solve for x
    x = 3,167,374,802,944/817,856
  6. Step 6: Final answer
    x = 3,872,778.10

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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.