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Finding the Third Proportional to 964,423 and 2,074,009

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Solution

The third proportional to 964,423 and 2,074,009 is: 4,460,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,423 : 2,074,009 = 2,074,009 : x
  2. Step 2: Convert to fraction form
    964,423/2,074,009 = 2,074,009/x
  3. Step 3: Cross multiply
    964,423x = 2,074,009 × 2,074,009
  4. Step 4: Simplify right side
    964,423x = 4,301,513,332,081
  5. Step 5: Solve for x
    x = 4,301,513,332,081/964,423
  6. Step 6: Final answer
    x = 4,460,193.64

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Why These Related Problems?

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