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Finding the Third Proportional to 566,097 and 909,009

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Solution

The third proportional to 566,097 and 909,009 is: 1,459,639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,097 : 909,009 = 909,009 : x
  2. Step 2: Convert to fraction form
    566,097/909,009 = 909,009/x
  3. Step 3: Cross multiply
    566,097x = 909,009 × 909,009
  4. Step 4: Simplify right side
    566,097x = 826,297,362,081
  5. Step 5: Solve for x
    x = 826,297,362,081/566,097
  6. Step 6: Final answer
    x = 1,459,639.18

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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.