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Finding the Third Proportional to 390,634 and 836,564

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Solution

The third proportional to 390,634 and 836,564 is: 1,791,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,634 : 836,564 = 836,564 : x
  2. Step 2: Convert to fraction form
    390,634/836,564 = 836,564/x
  3. Step 3: Cross multiply
    390,634x = 836,564 × 836,564
  4. Step 4: Simplify right side
    390,634x = 699,839,326,096
  5. Step 5: Solve for x
    x = 699,839,326,096/390,634
  6. Step 6: Final answer
    x = 1,791,547.40

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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.