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Finding the Third Proportional to 1,069,203 and 1,413,292.50

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Solution

The third proportional to 1,069,203 and 1,413,292.50 is: 1,868,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,203 : 1,413,292.50 = 1,413,292.50 : x
  2. Step 2: Convert to fraction form
    1,069,203/1,413,292.50 = 1,413,292.50/x
  3. Step 3: Cross multiply
    1,069,203x = 1,413,292.50 × 1,413,292.50
  4. Step 4: Simplify right side
    1,069,203x = 1,997,395,690,556.25
  5. Step 5: Solve for x
    x = 1,997,395,690,556.25/1,069,203
  6. Step 6: Final answer
    x = 1,868,116.43

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.