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Finding the Third Proportional to 566,094 and 909,012

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Solution

The third proportional to 566,094 and 909,012 is: 1,459,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,094 : 909,012 = 909,012 : x
  2. Step 2: Convert to fraction form
    566,094/909,012 = 909,012/x
  3. Step 3: Cross multiply
    566,094x = 909,012 × 909,012
  4. Step 4: Simplify right side
    566,094x = 826,302,816,144
  5. Step 5: Solve for x
    x = 826,302,816,144/566,094
  6. Step 6: Final answer
    x = 1,459,656.55

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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.