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Finding the Third Proportional to 1,029,076 and 2,405,020

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Solution

The third proportional to 1,029,076 and 2,405,020 is: 5,620,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,076 : 2,405,020 = 2,405,020 : x
  2. Step 2: Convert to fraction form
    1,029,076/2,405,020 = 2,405,020/x
  3. Step 3: Cross multiply
    1,029,076x = 2,405,020 × 2,405,020
  4. Step 4: Simplify right side
    1,029,076x = 5,784,121,200,400
  5. Step 5: Solve for x
    x = 5,784,121,200,400/1,029,076
  6. Step 6: Final answer
    x = 5,620,693.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.