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Finding the Third Proportional to 585,820 and 937,693

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Solution

The third proportional to 585,820 and 937,693 is: 1,500,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,820 : 937,693 = 937,693 : x
  2. Step 2: Convert to fraction form
    585,820/937,693 = 937,693/x
  3. Step 3: Cross multiply
    585,820x = 937,693 × 937,693
  4. Step 4: Simplify right side
    585,820x = 879,268,162,249
  5. Step 5: Solve for x
    x = 879,268,162,249/585,820
  6. Step 6: Final answer
    x = 1,500,918.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.