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Finding the Third Proportional to 426,881 and 909,065

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Solution

The third proportional to 426,881 and 909,065 is: 1,935,900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,881 : 909,065 = 909,065 : x
  2. Step 2: Convert to fraction form
    426,881/909,065 = 909,065/x
  3. Step 3: Cross multiply
    426,881x = 909,065 × 909,065
  4. Step 4: Simplify right side
    426,881x = 826,399,174,225
  5. Step 5: Solve for x
    x = 826,399,174,225/426,881
  6. Step 6: Final answer
    x = 1,935,900.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.