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Finding the Third Proportional to 649,764 and 974,646

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Solution

The third proportional to 649,764 and 974,646 is: 1,461,969

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,764 : 974,646 = 974,646 : x
  2. Step 2: Convert to fraction form
    649,764/974,646 = 974,646/x
  3. Step 3: Cross multiply
    649,764x = 974,646 × 974,646
  4. Step 4: Simplify right side
    649,764x = 949,934,825,316
  5. Step 5: Solve for x
    x = 949,934,825,316/649,764
  6. Step 6: Final answer
    x = 1,461,969

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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.