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Finding the Third Proportional to 424,875 and 924,678

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Solution

The third proportional to 424,875 and 924,678 is: 2,012,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,875 : 924,678 = 924,678 : x
  2. Step 2: Convert to fraction form
    424,875/924,678 = 924,678/x
  3. Step 3: Cross multiply
    424,875x = 924,678 × 924,678
  4. Step 4: Simplify right side
    424,875x = 855,029,403,684
  5. Step 5: Solve for x
    x = 855,029,403,684/424,875
  6. Step 6: Final answer
    x = 2,012,425.78

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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.