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Finding the Third Proportional to 1,534,196 and 2,301,294

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Solution

The third proportional to 1,534,196 and 2,301,294 is: 3,451,941

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,196 : 2,301,294 = 2,301,294 : x
  2. Step 2: Convert to fraction form
    1,534,196/2,301,294 = 2,301,294/x
  3. Step 3: Cross multiply
    1,534,196x = 2,301,294 × 2,301,294
  4. Step 4: Simplify right side
    1,534,196x = 5,295,954,074,436
  5. Step 5: Solve for x
    x = 5,295,954,074,436/1,534,196
  6. Step 6: Final answer
    x = 3,451,941

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.