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Finding the Third Proportional to 2,163,840 and 4,617,298

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Solution

The third proportional to 2,163,840 and 4,617,298 is: 9,852,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,840 : 4,617,298 = 4,617,298 : x
  2. Step 2: Convert to fraction form
    2,163,840/4,617,298 = 4,617,298/x
  3. Step 3: Cross multiply
    2,163,840x = 4,617,298 × 4,617,298
  4. Step 4: Simplify right side
    2,163,840x = 21,319,440,820,804
  5. Step 5: Solve for x
    x = 21,319,440,820,804/2,163,840
  6. Step 6: Final answer
    x = 9,852,595.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.