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Finding the Third Proportional to 615,922 and 1,316,964

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Solution

The third proportional to 615,922 and 1,316,964 is: 2,815,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,922 : 1,316,964 = 1,316,964 : x
  2. Step 2: Convert to fraction form
    615,922/1,316,964 = 1,316,964/x
  3. Step 3: Cross multiply
    615,922x = 1,316,964 × 1,316,964
  4. Step 4: Simplify right side
    615,922x = 1,734,394,177,296
  5. Step 5: Solve for x
    x = 1,734,394,177,296/615,922
  6. Step 6: Final answer
    x = 2,815,931.53

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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.