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Finding the Third Proportional to 791,770 and 1,726,445

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Solution

The third proportional to 791,770 and 1,726,445 is: 3,764,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,770 : 1,726,445 = 1,726,445 : x
  2. Step 2: Convert to fraction form
    791,770/1,726,445 = 1,726,445/x
  3. Step 3: Cross multiply
    791,770x = 1,726,445 × 1,726,445
  4. Step 4: Simplify right side
    791,770x = 2,980,612,338,025
  5. Step 5: Solve for x
    x = 2,980,612,338,025/791,770
  6. Step 6: Final answer
    x = 3,764,492.64

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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.