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Finding the Third Proportional to 1,462,973 and 3,128,743.50

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Solution

The third proportional to 1,462,973 and 3,128,743.50 is: 6,691,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,973 : 3,128,743.50 = 3,128,743.50 : x
  2. Step 2: Convert to fraction form
    1,462,973/3,128,743.50 = 3,128,743.50/x
  3. Step 3: Cross multiply
    1,462,973x = 3,128,743.50 × 3,128,743.50
  4. Step 4: Simplify right side
    1,462,973x = 9,789,035,888,792.25
  5. Step 5: Solve for x
    x = 9,789,035,888,792.25/1,462,973
  6. Step 6: Final answer
    x = 6,691,193.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.