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Finding the Third Proportional to 687,178 and 1,048,535

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Solution

The third proportional to 687,178 and 1,048,535 is: 1,599,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,178 : 1,048,535 = 1,048,535 : x
  2. Step 2: Convert to fraction form
    687,178/1,048,535 = 1,048,535/x
  3. Step 3: Cross multiply
    687,178x = 1,048,535 × 1,048,535
  4. Step 4: Simplify right side
    687,178x = 1,099,425,646,225
  5. Step 5: Solve for x
    x = 1,099,425,646,225/687,178
  6. Step 6: Final answer
    x = 1,599,913.92

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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.