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Finding the Third Proportional to 647,958 and 912,066

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Solution

The third proportional to 647,958 and 912,066 is: 1,283,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,958 : 912,066 = 912,066 : x
  2. Step 2: Convert to fraction form
    647,958/912,066 = 912,066/x
  3. Step 3: Cross multiply
    647,958x = 912,066 × 912,066
  4. Step 4: Simplify right side
    647,958x = 831,864,388,356
  5. Step 5: Solve for x
    x = 831,864,388,356/647,958
  6. Step 6: Final answer
    x = 1,283,824.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.