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Finding the Third Proportional to 648,364 and 1,041,747

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Solution

The third proportional to 648,364 and 1,041,747 is: 1,673,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,364 : 1,041,747 = 1,041,747 : x
  2. Step 2: Convert to fraction form
    648,364/1,041,747 = 1,041,747/x
  3. Step 3: Cross multiply
    648,364x = 1,041,747 × 1,041,747
  4. Step 4: Simplify right side
    648,364x = 1,085,236,812,009
  5. Step 5: Solve for x
    x = 1,085,236,812,009/648,364
  6. Step 6: Final answer
    x = 1,673,807.94

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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.