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Finding the Third Proportional to 454,584 and 956,148

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Solution

The third proportional to 454,584 and 956,148 is: 2,011,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,584 : 956,148 = 956,148 : x
  2. Step 2: Convert to fraction form
    454,584/956,148 = 956,148/x
  3. Step 3: Cross multiply
    454,584x = 956,148 × 956,148
  4. Step 4: Simplify right side
    454,584x = 914,218,997,904
  5. Step 5: Solve for x
    x = 914,218,997,904/454,584
  6. Step 6: Final answer
    x = 2,011,111.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.