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Finding the Third Proportional to 687,644 and 1,051,230

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Solution

The third proportional to 687,644 and 1,051,230 is: 1,607,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,644 : 1,051,230 = 1,051,230 : x
  2. Step 2: Convert to fraction form
    687,644/1,051,230 = 1,051,230/x
  3. Step 3: Cross multiply
    687,644x = 1,051,230 × 1,051,230
  4. Step 4: Simplify right side
    687,644x = 1,105,084,512,900
  5. Step 5: Solve for x
    x = 1,105,084,512,900/687,644
  6. Step 6: Final answer
    x = 1,607,059.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.