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Finding the Third Proportional to 426,013 and 918,455

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Solution

The third proportional to 426,013 and 918,455 is: 1,980,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,013 : 918,455 = 918,455 : x
  2. Step 2: Convert to fraction form
    426,013/918,455 = 918,455/x
  3. Step 3: Cross multiply
    426,013x = 918,455 × 918,455
  4. Step 4: Simplify right side
    426,013x = 843,559,587,025
  5. Step 5: Solve for x
    x = 843,559,587,025/426,013
  6. Step 6: Final answer
    x = 1,980,126.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.