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Finding the Third Proportional to 566,100 and 909,021

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Solution

The third proportional to 566,100 and 909,021 is: 1,459,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,100 : 909,021 = 909,021 : x
  2. Step 2: Convert to fraction form
    566,100/909,021 = 909,021/x
  3. Step 3: Cross multiply
    566,100x = 909,021 × 909,021
  4. Step 4: Simplify right side
    566,100x = 826,319,178,441
  5. Step 5: Solve for x
    x = 826,319,178,441/566,100
  6. Step 6: Final answer
    x = 1,459,669.98

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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.