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Finding the Third Proportional to 2,009,836.50 and 4,380,445.50

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Solution

The third proportional to 2,009,836.50 and 4,380,445.50 is: 9,547,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009,836.50 : 4,380,445.50 = 4,380,445.50 : x
  2. Step 2: Convert to fraction form
    2,009,836.50/4,380,445.50 = 4,380,445.50/x
  3. Step 3: Cross multiply
    2,009,836.50x = 4,380,445.50 × 4,380,445.50
  4. Step 4: Simplify right side
    2,009,836.50x = 19,188,302,778,470.25
  5. Step 5: Solve for x
    x = 19,188,302,778,470.25/2,009,836.50
  6. Step 6: Final answer
    x = 9,547,195.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.