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Finding the Third Proportional to 566,101 and 909,015

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Solution

The third proportional to 566,101 and 909,015 is: 1,459,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,101 : 909,015 = 909,015 : x
  2. Step 2: Convert to fraction form
    566,101/909,015 = 909,015/x
  3. Step 3: Cross multiply
    566,101x = 909,015 × 909,015
  4. Step 4: Simplify right side
    566,101x = 826,308,270,225
  5. Step 5: Solve for x
    x = 826,308,270,225/566,101
  6. Step 6: Final answer
    x = 1,459,648.14

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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.