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Finding the Third Proportional to 687,234 and 1,045,431

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Solution

The third proportional to 687,234 and 1,045,431 is: 1,590,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,234 : 1,045,431 = 1,045,431 : x
  2. Step 2: Convert to fraction form
    687,234/1,045,431 = 1,045,431/x
  3. Step 3: Cross multiply
    687,234x = 1,045,431 × 1,045,431
  4. Step 4: Simplify right side
    687,234x = 1,092,925,975,761
  5. Step 5: Solve for x
    x = 1,092,925,975,761/687,234
  6. Step 6: Final answer
    x = 1,590,325.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.