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Finding the Third Proportional to 1,330,030 and 2,009,013

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Solution

The third proportional to 1,330,030 and 2,009,013 is: 3,034,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,030 : 2,009,013 = 2,009,013 : x
  2. Step 2: Convert to fraction form
    1,330,030/2,009,013 = 2,009,013/x
  3. Step 3: Cross multiply
    1,330,030x = 2,009,013 × 2,009,013
  4. Step 4: Simplify right side
    1,330,030x = 4,036,133,234,169
  5. Step 5: Solve for x
    x = 4,036,133,234,169/1,330,030
  6. Step 6: Final answer
    x = 3,034,618.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.