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Finding the Third Proportional to 649,748 and 974,622

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Solution

The third proportional to 649,748 and 974,622 is: 1,461,933

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,748 : 974,622 = 974,622 : x
  2. Step 2: Convert to fraction form
    649,748/974,622 = 974,622/x
  3. Step 3: Cross multiply
    649,748x = 974,622 × 974,622
  4. Step 4: Simplify right side
    649,748x = 949,888,042,884
  5. Step 5: Solve for x
    x = 949,888,042,884/649,748
  6. Step 6: Final answer
    x = 1,461,933

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.