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Finding the Third Proportional to 426,969 and 924,066

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Solution

The third proportional to 426,969 and 924,066 is: 1,999,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,969 : 924,066 = 924,066 : x
  2. Step 2: Convert to fraction form
    426,969/924,066 = 924,066/x
  3. Step 3: Cross multiply
    426,969x = 924,066 × 924,066
  4. Step 4: Simplify right side
    426,969x = 853,897,972,356
  5. Step 5: Solve for x
    x = 853,897,972,356/426,969
  6. Step 6: Final answer
    x = 1,999,906.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.