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Finding the Third Proportional to 746,984 and 1,602,823

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Solution

The third proportional to 746,984 and 1,602,823 is: 3,439,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,984 : 1,602,823 = 1,602,823 : x
  2. Step 2: Convert to fraction form
    746,984/1,602,823 = 1,602,823/x
  3. Step 3: Cross multiply
    746,984x = 1,602,823 × 1,602,823
  4. Step 4: Simplify right side
    746,984x = 2,569,041,569,329
  5. Step 5: Solve for x
    x = 2,569,041,569,329/746,984
  6. Step 6: Final answer
    x = 3,439,219.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.