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Finding the Third Proportional to 589,382 and 900,986

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Solution

The third proportional to 589,382 and 900,986 is: 1,377,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,382 : 900,986 = 900,986 : x
  2. Step 2: Convert to fraction form
    589,382/900,986 = 900,986/x
  3. Step 3: Cross multiply
    589,382x = 900,986 × 900,986
  4. Step 4: Simplify right side
    589,382x = 811,775,772,196
  5. Step 5: Solve for x
    x = 811,775,772,196/589,382
  6. Step 6: Final answer
    x = 1,377,333.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.