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Finding the Third Proportional to 3,917,811 and 5,742,580.50

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Solution

The third proportional to 3,917,811 and 5,742,580.50 is: 8,417,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917,811 : 5,742,580.50 = 5,742,580.50 : x
  2. Step 2: Convert to fraction form
    3,917,811/5,742,580.50 = 5,742,580.50/x
  3. Step 3: Cross multiply
    3,917,811x = 5,742,580.50 × 5,742,580.50
  4. Step 4: Simplify right side
    3,917,811x = 32,977,230,798,980.25
  5. Step 5: Solve for x
    x = 32,977,230,798,980.25/3,917,811
  6. Step 6: Final answer
    x = 8,417,259.23

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Why These Related Problems?

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