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Finding the Third Proportional to 857,420 and 1,828,712

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Solution

The third proportional to 857,420 and 1,828,712 is: 3,900,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,420 : 1,828,712 = 1,828,712 : x
  2. Step 2: Convert to fraction form
    857,420/1,828,712 = 1,828,712/x
  3. Step 3: Cross multiply
    857,420x = 1,828,712 × 1,828,712
  4. Step 4: Simplify right side
    857,420x = 3,344,187,578,944
  5. Step 5: Solve for x
    x = 3,344,187,578,944/857,420
  6. Step 6: Final answer
    x = 3,900,291.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.