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Finding the Third Proportional to 996,875 and 1,546,463

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Solution

The third proportional to 996,875 and 1,546,463 is: 2,399,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,875 : 1,546,463 = 1,546,463 : x
  2. Step 2: Convert to fraction form
    996,875/1,546,463 = 1,546,463/x
  3. Step 3: Cross multiply
    996,875x = 1,546,463 × 1,546,463
  4. Step 4: Simplify right side
    996,875x = 2,391,547,810,369
  5. Step 5: Solve for x
    x = 2,391,547,810,369/996,875
  6. Step 6: Final answer
    x = 2,399,044.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.