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Finding the Third Proportional to 1,420,473 and 3,423,243

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Solution

The third proportional to 1,420,473 and 3,423,243 is: 8,249,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,473 : 3,423,243 = 3,423,243 : x
  2. Step 2: Convert to fraction form
    1,420,473/3,423,243 = 3,423,243/x
  3. Step 3: Cross multiply
    1,420,473x = 3,423,243 × 3,423,243
  4. Step 4: Simplify right side
    1,420,473x = 11,718,592,637,049
  5. Step 5: Solve for x
    x = 11,718,592,637,049/1,420,473
  6. Step 6: Final answer
    x = 8,249,782.04

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.