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Finding the Third Proportional to 425,023 and 924,813

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Solution

The third proportional to 425,023 and 924,813 is: 2,012,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,023 : 924,813 = 924,813 : x
  2. Step 2: Convert to fraction form
    425,023/924,813 = 924,813/x
  3. Step 3: Cross multiply
    425,023x = 924,813 × 924,813
  4. Step 4: Simplify right side
    425,023x = 855,279,084,969
  5. Step 5: Solve for x
    x = 855,279,084,969/425,023
  6. Step 6: Final answer
    x = 2,012,312.47

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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.