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Finding the Third Proportional to 1,909,821 and 2,595,297

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Solution

The third proportional to 1,909,821 and 2,595,297 is: 3,526,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,821 : 2,595,297 = 2,595,297 : x
  2. Step 2: Convert to fraction form
    1,909,821/2,595,297 = 2,595,297/x
  3. Step 3: Cross multiply
    1,909,821x = 2,595,297 × 2,595,297
  4. Step 4: Simplify right side
    1,909,821x = 6,735,566,518,209
  5. Step 5: Solve for x
    x = 6,735,566,518,209/1,909,821
  6. Step 6: Final answer
    x = 3,526,805.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.