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Finding the Third Proportional to 841,520 and 1,825,712

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Solution

The third proportional to 841,520 and 1,825,712 is: 3,960,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,520 : 1,825,712 = 1,825,712 : x
  2. Step 2: Convert to fraction form
    841,520/1,825,712 = 1,825,712/x
  3. Step 3: Cross multiply
    841,520x = 1,825,712 × 1,825,712
  4. Step 4: Simplify right side
    841,520x = 3,333,224,306,944
  5. Step 5: Solve for x
    x = 3,333,224,306,944/841,520
  6. Step 6: Final answer
    x = 3,960,956.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.