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Finding the Third Proportional to 687,646 and 1,051,236

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Solution

The third proportional to 687,646 and 1,051,236 is: 1,607,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,646 : 1,051,236 = 1,051,236 : x
  2. Step 2: Convert to fraction form
    687,646/1,051,236 = 1,051,236/x
  3. Step 3: Cross multiply
    687,646x = 1,051,236 × 1,051,236
  4. Step 4: Simplify right side
    687,646x = 1,105,097,127,696
  5. Step 5: Solve for x
    x = 1,105,097,127,696/687,646
  6. Step 6: Final answer
    x = 1,607,072.72

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Why These Related Problems?

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