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Finding the Third Proportional to 566,098 and 909,018

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Solution

The third proportional to 566,098 and 909,018 is: 1,459,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,098 : 909,018 = 909,018 : x
  2. Step 2: Convert to fraction form
    566,098/909,018 = 909,018/x
  3. Step 3: Cross multiply
    566,098x = 909,018 × 909,018
  4. Step 4: Simplify right side
    566,098x = 826,313,724,324
  5. Step 5: Solve for x
    x = 826,313,724,324/566,098
  6. Step 6: Final answer
    x = 1,459,665.51

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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.