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Finding the Third Proportional to 687,236 and 1,045,434

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Solution

The third proportional to 687,236 and 1,045,434 is: 1,590,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,236 : 1,045,434 = 1,045,434 : x
  2. Step 2: Convert to fraction form
    687,236/1,045,434 = 1,045,434/x
  3. Step 3: Cross multiply
    687,236x = 1,045,434 × 1,045,434
  4. Step 4: Simplify right side
    687,236x = 1,092,932,248,356
  5. Step 5: Solve for x
    x = 1,092,932,248,356/687,236
  6. Step 6: Final answer
    x = 1,590,330.32

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