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Finding the Third Proportional to 615,929 and 1,316,977

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Solution

The third proportional to 615,929 and 1,316,977 is: 2,815,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,929 : 1,316,977 = 1,316,977 : x
  2. Step 2: Convert to fraction form
    615,929/1,316,977 = 1,316,977/x
  3. Step 3: Cross multiply
    615,929x = 1,316,977 × 1,316,977
  4. Step 4: Simplify right side
    615,929x = 1,734,428,418,529
  5. Step 5: Solve for x
    x = 1,734,428,418,529/615,929
  6. Step 6: Final answer
    x = 2,815,955.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.