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Finding the Third Proportional to 508,412 and 1,084,378

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Solution

The third proportional to 508,412 and 1,084,378 is: 2,312,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,412 : 1,084,378 = 1,084,378 : x
  2. Step 2: Convert to fraction form
    508,412/1,084,378 = 1,084,378/x
  3. Step 3: Cross multiply
    508,412x = 1,084,378 × 1,084,378
  4. Step 4: Simplify right side
    508,412x = 1,175,875,646,884
  5. Step 5: Solve for x
    x = 1,175,875,646,884/508,412
  6. Step 6: Final answer
    x = 2,312,840.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.