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Finding the Third Proportional to 425,008 and 924,784

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Solution

The third proportional to 425,008 and 924,784 is: 2,012,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,008 : 924,784 = 924,784 : x
  2. Step 2: Convert to fraction form
    425,008/924,784 = 924,784/x
  3. Step 3: Cross multiply
    425,008x = 924,784 × 924,784
  4. Step 4: Simplify right side
    425,008x = 855,225,446,656
  5. Step 5: Solve for x
    x = 855,225,446,656/425,008
  6. Step 6: Final answer
    x = 2,012,257.29

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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.