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Finding the Third Proportional to 840,566 and 1,799,221

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Solution

The third proportional to 840,566 and 1,799,221 is: 3,851,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,566 : 1,799,221 = 1,799,221 : x
  2. Step 2: Convert to fraction form
    840,566/1,799,221 = 1,799,221/x
  3. Step 3: Cross multiply
    840,566x = 1,799,221 × 1,799,221
  4. Step 4: Simplify right side
    840,566x = 3,237,196,206,841
  5. Step 5: Solve for x
    x = 3,237,196,206,841/840,566
  6. Step 6: Final answer
    x = 3,851,210.03

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Why These Related Problems?

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