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Finding the Third Proportional to 590,946 and 886,239

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Solution

The third proportional to 590,946 and 886,239 is: 1,329,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,946 : 886,239 = 886,239 : x
  2. Step 2: Convert to fraction form
    590,946/886,239 = 886,239/x
  3. Step 3: Cross multiply
    590,946x = 886,239 × 886,239
  4. Step 4: Simplify right side
    590,946x = 785,419,565,121
  5. Step 5: Solve for x
    x = 785,419,565,121/590,946
  6. Step 6: Final answer
    x = 1,329,088.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.