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Finding the Third Proportional to 832,707 and 1,783,420.88

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Solution

The third proportional to 832,707 and 1,783,420.88 is: 3,819,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,707 : 1,783,420.88 = 1,783,420.88 : x
  2. Step 2: Convert to fraction form
    832,707/1,783,420.88 = 1,783,420.88/x
  3. Step 3: Cross multiply
    832,707x = 1,783,420.88 × 1,783,420.88
  4. Step 4: Simplify right side
    832,707x = 3,180,590,017,385.77
  5. Step 5: Solve for x
    x = 3,180,590,017,385.77/832,707
  6. Step 6: Final answer
    x = 3,819,578.82

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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.