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Finding the Third Proportional to 428,905.13 and 928,425.38

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Solution

The third proportional to 428,905.13 and 928,425.38 is: 2,009,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,905.13 : 928,425.38 = 928,425.38 : x
  2. Step 2: Convert to fraction form
    428,905.13/928,425.38 = 928,425.38/x
  3. Step 3: Cross multiply
    428,905.13x = 928,425.38 × 928,425.38
  4. Step 4: Simplify right side
    428,905.13x = 861,973,676,943.89
  5. Step 5: Solve for x
    x = 861,973,676,943.89/428,905.13
  6. Step 6: Final answer
    x = 2,009,707.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.