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Finding the Third Proportional to 399,396 and 868,776

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Solution

The third proportional to 399,396 and 868,776 is: 1,889,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,396 : 868,776 = 868,776 : x
  2. Step 2: Convert to fraction form
    399,396/868,776 = 868,776/x
  3. Step 3: Cross multiply
    399,396x = 868,776 × 868,776
  4. Step 4: Simplify right side
    399,396x = 754,771,738,176
  5. Step 5: Solve for x
    x = 754,771,738,176/399,396
  6. Step 6: Final answer
    x = 1,889,782.92

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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.