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Finding the Third Proportional to 566,102 and 909,024

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Solution

The third proportional to 566,102 and 909,024 is: 1,459,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,102 : 909,024 = 909,024 : x
  2. Step 2: Convert to fraction form
    566,102/909,024 = 909,024/x
  3. Step 3: Cross multiply
    566,102x = 909,024 × 909,024
  4. Step 4: Simplify right side
    566,102x = 826,324,632,576
  5. Step 5: Solve for x
    x = 826,324,632,576/566,102
  6. Step 6: Final answer
    x = 1,459,674.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.