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Finding the Third Proportional to 591,106 and 865,700

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Solution

The third proportional to 591,106 and 865,700 is: 1,267,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,106 : 865,700 = 865,700 : x
  2. Step 2: Convert to fraction form
    591,106/865,700 = 865,700/x
  3. Step 3: Cross multiply
    591,106x = 865,700 × 865,700
  4. Step 4: Simplify right side
    591,106x = 749,436,490,000
  5. Step 5: Solve for x
    x = 749,436,490,000/591,106
  6. Step 6: Final answer
    x = 1,267,854.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.