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Finding the Third Proportional to 425,025 and 924,817

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Solution

The third proportional to 425,025 and 924,817 is: 2,012,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,025 : 924,817 = 924,817 : x
  2. Step 2: Convert to fraction form
    425,025/924,817 = 924,817/x
  3. Step 3: Cross multiply
    425,025x = 924,817 × 924,817
  4. Step 4: Simplify right side
    425,025x = 855,286,483,489
  5. Step 5: Solve for x
    x = 855,286,483,489/425,025
  6. Step 6: Final answer
    x = 2,012,320.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.