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Finding the Third Proportional to 417,584 and 910,444

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Solution

The third proportional to 417,584 and 910,444 is: 1,985,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,584 : 910,444 = 910,444 : x
  2. Step 2: Convert to fraction form
    417,584/910,444 = 910,444/x
  3. Step 3: Cross multiply
    417,584x = 910,444 × 910,444
  4. Step 4: Simplify right side
    417,584x = 828,908,277,136
  5. Step 5: Solve for x
    x = 828,908,277,136/417,584
  6. Step 6: Final answer
    x = 1,985,009.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.