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Finding the Third Proportional to 969,032 and 1,357,904

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Solution

The third proportional to 969,032 and 1,357,904 is: 1,902,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,032 : 1,357,904 = 1,357,904 : x
  2. Step 2: Convert to fraction form
    969,032/1,357,904 = 1,357,904/x
  3. Step 3: Cross multiply
    969,032x = 1,357,904 × 1,357,904
  4. Step 4: Simplify right side
    969,032x = 1,843,903,273,216
  5. Step 5: Solve for x
    x = 1,843,903,273,216/969,032
  6. Step 6: Final answer
    x = 1,902,830.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.