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Finding the Third Proportional to 1,104,102 and 2,365,596

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Solution

The third proportional to 1,104,102 and 2,365,596 is: 5,068,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104,102 : 2,365,596 = 2,365,596 : x
  2. Step 2: Convert to fraction form
    1,104,102/2,365,596 = 2,365,596/x
  3. Step 3: Cross multiply
    1,104,102x = 2,365,596 × 2,365,596
  4. Step 4: Simplify right side
    1,104,102x = 5,596,044,435,216
  5. Step 5: Solve for x
    x = 5,596,044,435,216/1,104,102
  6. Step 6: Final answer
    x = 5,068,412.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.