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Finding the Third Proportional to 4,089,570 and 8,602,201

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Solution

The third proportional to 4,089,570 and 8,602,201 is: 18,094,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089,570 : 8,602,201 = 8,602,201 : x
  2. Step 2: Convert to fraction form
    4,089,570/8,602,201 = 8,602,201/x
  3. Step 3: Cross multiply
    4,089,570x = 8,602,201 × 8,602,201
  4. Step 4: Simplify right side
    4,089,570x = 73,997,862,044,401
  5. Step 5: Solve for x
    x = 73,997,862,044,401/4,089,570
  6. Step 6: Final answer
    x = 18,094,289.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.