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Finding the Third Proportional to 1,429,848 and 2,096,656.50

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Solution

The third proportional to 1,429,848 and 2,096,656.50 is: 3,074,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,848 : 2,096,656.50 = 2,096,656.50 : x
  2. Step 2: Convert to fraction form
    1,429,848/2,096,656.50 = 2,096,656.50/x
  3. Step 3: Cross multiply
    1,429,848x = 2,096,656.50 × 2,096,656.50
  4. Step 4: Simplify right side
    1,429,848x = 4,395,968,478,992.25
  5. Step 5: Solve for x
    x = 4,395,968,478,992.25/1,429,848
  6. Step 6: Final answer
    x = 3,074,430.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.