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Finding the Third Proportional to 1,525,216 and 3,316,064

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Solution

The third proportional to 1,525,216 and 3,316,064 is: 7,209,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,216 : 3,316,064 = 3,316,064 : x
  2. Step 2: Convert to fraction form
    1,525,216/3,316,064 = 3,316,064/x
  3. Step 3: Cross multiply
    1,525,216x = 3,316,064 × 3,316,064
  4. Step 4: Simplify right side
    1,525,216x = 10,996,280,452,096
  5. Step 5: Solve for x
    x = 10,996,280,452,096/1,525,216
  6. Step 6: Final answer
    x = 7,209,654.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.