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Finding the Third Proportional to 426,537 and 933,426

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Solution

The third proportional to 426,537 and 933,426 is: 2,042,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,537 : 933,426 = 933,426 : x
  2. Step 2: Convert to fraction form
    426,537/933,426 = 933,426/x
  3. Step 3: Cross multiply
    426,537x = 933,426 × 933,426
  4. Step 4: Simplify right side
    426,537x = 871,284,097,476
  5. Step 5: Solve for x
    x = 871,284,097,476/426,537
  6. Step 6: Final answer
    x = 2,042,692.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.