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Finding the Third Proportional to 2,413,312 and 4,765,664

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Solution

The third proportional to 2,413,312 and 4,765,664 is: 9,410,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,312 : 4,765,664 = 4,765,664 : x
  2. Step 2: Convert to fraction form
    2,413,312/4,765,664 = 4,765,664/x
  3. Step 3: Cross multiply
    2,413,312x = 4,765,664 × 4,765,664
  4. Step 4: Simplify right side
    2,413,312x = 22,711,553,360,896
  5. Step 5: Solve for x
    x = 22,711,553,360,896/2,413,312
  6. Step 6: Final answer
    x = 9,410,947.84

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.