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Finding the Third Proportional to 787,948 and 1,153,973

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Solution

The third proportional to 787,948 and 1,153,973 is: 1,690,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,948 : 1,153,973 = 1,153,973 : x
  2. Step 2: Convert to fraction form
    787,948/1,153,973 = 1,153,973/x
  3. Step 3: Cross multiply
    787,948x = 1,153,973 × 1,153,973
  4. Step 4: Simplify right side
    787,948x = 1,331,653,684,729
  5. Step 5: Solve for x
    x = 1,331,653,684,729/787,948
  6. Step 6: Final answer
    x = 1,690,027.37

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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.