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Finding the Third Proportional to 787,946 and 1,153,970

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Solution

The third proportional to 787,946 and 1,153,970 is: 1,690,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,946 : 1,153,970 = 1,153,970 : x
  2. Step 2: Convert to fraction form
    787,946/1,153,970 = 1,153,970/x
  3. Step 3: Cross multiply
    787,946x = 1,153,970 × 1,153,970
  4. Step 4: Simplify right side
    787,946x = 1,331,646,760,900
  5. Step 5: Solve for x
    x = 1,331,646,760,900/787,946
  6. Step 6: Final answer
    x = 1,690,022.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.