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Finding the Third Proportional to 686,700 and 924,062

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Solution

The third proportional to 686,700 and 924,062 is: 1,243,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,700 : 924,062 = 924,062 : x
  2. Step 2: Convert to fraction form
    686,700/924,062 = 924,062/x
  3. Step 3: Cross multiply
    686,700x = 924,062 × 924,062
  4. Step 4: Simplify right side
    686,700x = 853,890,579,844
  5. Step 5: Solve for x
    x = 853,890,579,844/686,700
  6. Step 6: Final answer
    x = 1,243,469.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.