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Finding the Third Proportional to 648,407 and 1,041,815

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Solution

The third proportional to 648,407 and 1,041,815 is: 1,673,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,407 : 1,041,815 = 1,041,815 : x
  2. Step 2: Convert to fraction form
    648,407/1,041,815 = 1,041,815/x
  3. Step 3: Cross multiply
    648,407x = 1,041,815 × 1,041,815
  4. Step 4: Simplify right side
    648,407x = 1,085,378,494,225
  5. Step 5: Solve for x
    x = 1,085,378,494,225/648,407
  6. Step 6: Final answer
    x = 1,673,915.45

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.