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Finding the Third Proportional to 2,398,428 and 4,893,201

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Solution

The third proportional to 2,398,428 and 4,893,201 is: 9,982,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,428 : 4,893,201 = 4,893,201 : x
  2. Step 2: Convert to fraction form
    2,398,428/4,893,201 = 4,893,201/x
  3. Step 3: Cross multiply
    2,398,428x = 4,893,201 × 4,893,201
  4. Step 4: Simplify right side
    2,398,428x = 23,943,416,026,401
  5. Step 5: Solve for x
    x = 23,943,416,026,401/2,398,428
  6. Step 6: Final answer
    x = 9,982,962.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.