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Finding the Third Proportional to 615,084 and 1,322,136

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Solution

The third proportional to 615,084 and 1,322,136 is: 2,841,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,084 : 1,322,136 = 1,322,136 : x
  2. Step 2: Convert to fraction form
    615,084/1,322,136 = 1,322,136/x
  3. Step 3: Cross multiply
    615,084x = 1,322,136 × 1,322,136
  4. Step 4: Simplify right side
    615,084x = 1,748,043,602,496
  5. Step 5: Solve for x
    x = 1,748,043,602,496/615,084
  6. Step 6: Final answer
    x = 2,841,959.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.