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Finding the Third Proportional to 2,169,835 and 4,725,412

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Solution

The third proportional to 2,169,835 and 4,725,412 is: 10,290,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,835 : 4,725,412 = 4,725,412 : x
  2. Step 2: Convert to fraction form
    2,169,835/4,725,412 = 4,725,412/x
  3. Step 3: Cross multiply
    2,169,835x = 4,725,412 × 4,725,412
  4. Step 4: Simplify right side
    2,169,835x = 22,329,518,569,744
  5. Step 5: Solve for x
    x = 22,329,518,569,744/2,169,835
  6. Step 6: Final answer
    x = 10,290,883.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.