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Finding the Third Proportional to 1,435,663 and 3,154,351

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Solution

The third proportional to 1,435,663 and 3,154,351 is: 6,930,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,663 : 3,154,351 = 3,154,351 : x
  2. Step 2: Convert to fraction form
    1,435,663/3,154,351 = 3,154,351/x
  3. Step 3: Cross multiply
    1,435,663x = 3,154,351 × 3,154,351
  4. Step 4: Simplify right side
    1,435,663x = 9,949,930,231,201
  5. Step 5: Solve for x
    x = 9,949,930,231,201/1,435,663
  6. Step 6: Final answer
    x = 6,930,547.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.