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Finding the Third Proportional to 404,084 and 879,106

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Solution

The third proportional to 404,084 and 879,106 is: 1,912,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,084 : 879,106 = 879,106 : x
  2. Step 2: Convert to fraction form
    404,084/879,106 = 879,106/x
  3. Step 3: Cross multiply
    404,084x = 879,106 × 879,106
  4. Step 4: Simplify right side
    404,084x = 772,827,359,236
  5. Step 5: Solve for x
    x = 772,827,359,236/404,084
  6. Step 6: Final answer
    x = 1,912,541.35

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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.