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Finding the Third Proportional to 974,632 and 1,500,009

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Solution

The third proportional to 974,632 and 1,500,009 is: 2,308,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,632 : 1,500,009 = 1,500,009 : x
  2. Step 2: Convert to fraction form
    974,632/1,500,009 = 1,500,009/x
  3. Step 3: Cross multiply
    974,632x = 1,500,009 × 1,500,009
  4. Step 4: Simplify right side
    974,632x = 2,250,027,000,081
  5. Step 5: Solve for x
    x = 2,250,027,000,081/974,632
  6. Step 6: Final answer
    x = 2,308,591.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.