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Finding the Third Proportional to 591,480 and 926,658

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Solution

The third proportional to 591,480 and 926,658 is: 1,451,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,480 : 926,658 = 926,658 : x
  2. Step 2: Convert to fraction form
    591,480/926,658 = 926,658/x
  3. Step 3: Cross multiply
    591,480x = 926,658 × 926,658
  4. Step 4: Simplify right side
    591,480x = 858,695,048,964
  5. Step 5: Solve for x
    x = 858,695,048,964/591,480
  6. Step 6: Final answer
    x = 1,451,773.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.