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Finding the Third Proportional to 1,282,128 and 2,742,132

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Solution

The third proportional to 1,282,128 and 2,742,132 is: 5,864,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,128 : 2,742,132 = 2,742,132 : x
  2. Step 2: Convert to fraction form
    1,282,128/2,742,132 = 2,742,132/x
  3. Step 3: Cross multiply
    1,282,128x = 2,742,132 × 2,742,132
  4. Step 4: Simplify right side
    1,282,128x = 7,519,287,905,424
  5. Step 5: Solve for x
    x = 7,519,287,905,424/1,282,128
  6. Step 6: Final answer
    x = 5,864,693.62

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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.